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![62 we have į (Jkt – JF) KA ={(52-1) + (53 f2) + + ( Fita - JNH1)] = [ (52-51) + (53-52) + ... + (JNAI – JN.)] = -1 + JNH and](http://img.homeworklib.com/questions/95f32060-775a-11ec-a0c3-93da932ae33d.png?x-oss-process=image/resize,w_560)
series is diverge and we can
put k in place of n
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55-68. Telescoping series For the following telescoping series, find a formula for...
For the following telescoping series, find a formula for the nth term of the sequence of...
For the following telescoping series, find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate lim S, to obtain the value of the series or state that the series diverges. n+00 Å lehte this)
For the following telescoping series, find a formula for the nth term of the sequence of...
For the following telescoping series, find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate lim S, to obtain the value of the series or state n-00 that the series diverges k+1 k= 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice O Alim Sn (Type an integer or a fraction.) n00 OB. The series diverges
1. Use the Limit Comparison Test to prove that the series S(a, b) converges unless a or b is a negative integer. Why must this restriction on a and b be imposed? 2. In all that follows we assume with...
1. Use the Limit Comparison Test to prove that the series S(a, b) converges unless a or b is a negative integer. Why must this restriction on a and b be imposed? 2. In all that follows we assume without losing generality that a >b. Use partial fractions to show that 3. To get warmed up, write the first few terms of the series S(1,0) k(k + I )-4 k--J . Write the nth term of the sequence of partial...
please show all work Determine whether the following series converges or diverges. 15 (3n - 1)(3n+2)...
please show all work
Determine whether the following series converges or diverges. 15 (3n - 1)(3n+2) + n=1 O A. This is a p-series with p = Sinceps the series diverges. 9 OB. The limit of the terms of the series is By the Divergence Test, the series converges. O C. This is a p-series with p = Since p> the series converges. 1 O D. This is a telescoping series and lim Sn Therefore, the series diverges. n0 O...
4. [5] Find a formula for the nth partial sum Sn of the series, as is...
4. [5] Find a formula for the nth partial sum Sn of the series, as is done in Example 8 of chapter 11.2. Then, find the sum of the series or show that it diverges. Lk2 + 3k + 2 k=1
(b) (10) Find the sum of the telescoping series +3 showing your work. (n+ 3) In (a) and (b determine if the series converges absolutely, converges conditionally, or diverges. Tell the test you us...
(b) (10) Find the sum of the telescoping series +3 showing your work. (n+ 3) In (a) and (b determine if the series converges absolutely, converges conditionally, or diverges. Tell the test you use, and give reasons for your answers. (nl)2 n-1
(b) (10) Find the sum of the telescoping series +3 showing your work. (n+ 3) In (a) and (b determine if the series converges absolutely, converges conditionally, or diverges. Tell the test you use, and give reasons for...
please show work!! 010 L)os Evaluate the following, or show that it diverges: 86. on scal...
please show work!!
010 L)os Evaluate the following, or show that it diverges: 86. on scal E Justify your answer # 7. Does the following series converge? 21 (unnys Are the following statements true or false? Justify your answers. #8. (a) If the sequence ( then the sequence (a4) diverges as) diverges, TASK an diverges, and b, diverges, then a,+b diverges (b) If Sara (c) If G CODverges then lim a exists, 00 #9. If the series were approximated by...
Find the limit of the following. lim (V9x2 + 7x - V9x2 – 3x) lim (9x2...
Find the limit of the following. lim (V9x2 + 7x - V9x2 – 3x) lim (9x2 +7x - V9x2 - 3x) - X-00 (Simplify your answer.) t + 3t - 208 Find lim -13 - 169 + + 3t - 208 lim 1-13 - 169 (Type an integer or a simplified fraction.) Define f(7) in a way that extends f(s)= S-343 2 to be continuous at s = 7. s -49 f(7)- (Type an integer or a simplified fraction.) x+5...
6. We want to use the Integral Test to show that the positive series a converges....
6. We want to use the Integral Test to show that the positive series a converges. All of the following need to be done except one. Which is the one we don't need to do? (a) Find a function f(x) defined on [1,00) such that f(x) > 0, f(x) is decreasing, and f(n) = a, for all n. (b) Show that ſ f(z) dr converges. (e) Show that lim Ss6 f(x) dx exists. (d) Show that lim sexists. 7. Suppose...
stuck on part b Consider the following infinite series. Complete parts (a) through (c). 50(0.1) k=1...
stuck on part b
Consider the following infinite series. Complete parts (a) through (c). 50(0.1) k=1 a. Find the first four partial sums S, S2, S3, and Sa S = 5 = 5.5 S₂ = 5.55 (Simplify your answer. Type an integer or a decimal.) Sa = 5.555 b. Find a formula for the nth partial sum S, of the infinite series. S. (Use integers or fractions for any numbers in the expression.) Use the formula to find the next...
For the following telescoping series, find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate lim S, to obtain the value of the series or state that the series diverges. n+00 Å lehte this)
For the following telescoping series, find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate lim S, to obtain the value of the series or state n-00 that the series diverges k+1 k= 1 Select the correct choice below and, if necessary, fill in the answer box to complete your choice O Alim Sn (Type an integer or a fraction.) n00 OB. The series diverges
1. Use the Limit Comparison Test to prove that the series S(a, b) converges unless a or b is a negative integer. Why must this restriction on a and b be imposed? 2. In all that follows we assume without losing generality that a >b. Use partial fractions to show that 3. To get warmed up, write the first few terms of the series S(1,0) k(k + I )-4 k--J . Write the nth term of the sequence of partial...
please show all work
Determine whether the following series converges or diverges. 15 (3n - 1)(3n+2) + n=1 O A. This is a p-series with p = Sinceps the series diverges. 9 OB. The limit of the terms of the series is By the Divergence Test, the series converges. O C. This is a p-series with p = Since p> the series converges. 1 O D. This is a telescoping series and lim Sn Therefore, the series diverges. n0 O...
4. [5] Find a formula for the nth partial sum Sn of the series, as is done in Example 8 of chapter 11.2. Then, find the sum of the series or show that it diverges. Lk2 + 3k + 2 k=1
(b) (10) Find the sum of the telescoping series +3 showing your work. (n+ 3) In (a) and (b determine if the series converges absolutely, converges conditionally, or diverges. Tell the test you use, and give reasons for your answers. (nl)2 n-1
(b) (10) Find the sum of the telescoping series +3 showing your work. (n+ 3) In (a) and (b determine if the series converges absolutely, converges conditionally, or diverges. Tell the test you use, and give reasons for...
please show work!!
010 L)os Evaluate the following, or show that it diverges: 86. on scal E Justify your answer # 7. Does the following series converge? 21 (unnys Are the following statements true or false? Justify your answers. #8. (a) If the sequence ( then the sequence (a4) diverges as) diverges, TASK an diverges, and b, diverges, then a,+b diverges (b) If Sara (c) If G CODverges then lim a exists, 00 #9. If the series were approximated by...
Find the limit of the following. lim (V9x2 + 7x - V9x2 – 3x) lim (9x2 +7x - V9x2 - 3x) - X-00 (Simplify your answer.) t + 3t - 208 Find lim -13 - 169 + + 3t - 208 lim 1-13 - 169 (Type an integer or a simplified fraction.) Define f(7) in a way that extends f(s)= S-343 2 to be continuous at s = 7. s -49 f(7)- (Type an integer or a simplified fraction.) x+5...
6. We want to use the Integral Test to show that the positive series a converges. All of the following need to be done except one. Which is the one we don't need to do? (a) Find a function f(x) defined on [1,00) such that f(x) > 0, f(x) is decreasing, and f(n) = a, for all n. (b) Show that ſ f(z) dr converges. (e) Show that lim Ss6 f(x) dx exists. (d) Show that lim sexists. 7. Suppose...
stuck on part b
Consider the following infinite series. Complete parts (a) through (c). 50(0.1) k=1 a. Find the first four partial sums S, S2, S3, and Sa S = 5 = 5.5 S₂ = 5.55 (Simplify your answer. Type an integer or a decimal.) Sa = 5.555 b. Find a formula for the nth partial sum S, of the infinite series. S. (Use integers or fractions for any numbers in the expression.) Use the formula to find the next...
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