please show clear with good photo if used
14) Test the following Series for convergence. Show every step you use to get the answer a) k-l M-
Can I please get help with these!
14. Using the Integral Test to test the following series for convergence. Solving using other methods or with no detail is not acceptable. Σ. n(Inn)? 15. Determine whether the following series converge or diverge. Indicate the test you use. 1+ sink Σ (a) 2 k-1 4n-1 (b) n° +2n² - 2
To test the series e 2n for convergence, you can use the Integral Test. (This is also a geometric series, so we could n=1 also investigate convergence using other methods.) Find the value of e-24 dx = Preview Ji What does this value tell you about the convergence of the series e-2n? the series definitely diverges the series might converge or diverge: we need more information the series definitely converges Compute the value of the following improper integral, if it...
Question 3: Series and Convergence (3 points each) a) Use the special series and convergence test table to find the sum of the series. Be sure to show all work and substitutions. 2n N=0 For parts b, c, d, and e, show that the series converges or diverges. The table of special series and convergence tests should be used. Identify the type of convergence test used and be sure to show all work. (Hint: two should diverge) b) Σ (2n)!...
a) Use the special series and convergence test table to find the sum of the series. Be sure to show all work and substitutions. 00 3 8n NO For parts b, c, d, and e, show that the series converges or diverges. The table of special series and convergence tests should be used. Identify the type of convergence test used and be sure to show all work. (Hint: two should diverge) b) 2 + 7 con Σ Test: (-1) in...
please show all steps
Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not apply. 2 Σ k(Ink)? k= 3 Select the correct choice below and, if necessary, fill in the answer box to complete the choice. O A. 2. The series converges. The value of the integralſ dx is x(In x)2 (Type an exact answer.) B. 2 The series diverges. The value of the integralſ -dx is x(...
Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not apply. 1 5e 2k k=3 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. dx The series converges. The value of the integralſ is 5 e 2x 3 (Type an exact answer.) OB. dx The series diverges. The value of the integral is 5 e 2x (Type an exact answer.)...
Determine the divergence or convergence of the following
series. Show all steps and justifications. State the test used if
not stated.
please show all the steps
thank you
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Use the Root Test to determine the convergence or divergence of the series. (If you need to use o or -o, enter INFINITY or -INFINITY, respectively.) n = 2 (In(n)) limla,l = n > converges diverges inconclusive
Solve the taylor series and include every steps.
I. (a) Use the root test to find the interval of convergence of Σ(-1)4. (b) Demonstrate that the above is the taylor series of _ by writing a formula for f via taylors theorem at a = 0. That is write /(z) = P(z) + R(z) where P(z) is the nth order taylor polynonial centered at a point α and the remainder term R(r)- sn+(e)(-a)t1 for some e 0 O. Show that...
Use the Integral Test to determine the convergence or divergence of the following series, or state that the test does not apply. kes (Ink)? JUICE TO CONTOURILE DOWang, M ary, answer DUA TU BO O R . OA The series converges. The value of the integral valvo otro horas antes de la 2x12-dxis (Type an exact answer.) OB The series diverges. The value of the integral dx is in x 5 (Type an exact answer.) OC. The Integral Test does...