Homework Answers
7. -16.25 points Scalc7 11.6.001. What can you say about the series an in each of...
7. -16.25 points Scalc7 11.6.001. What can you say about the series an in each of the following cases? lim an+1 = 3 nan absolutely convergent conditionally convergent divergent cannot be determined (b) lim. Sat2 | = 0.9 absolutely convergent conditionally convergent divergent cannot be determined lim an+1 = 1 O absolutely convergent conditionally convergent divergent cannot be determined Submit Answer 5. -16.25 points Scalc7 11.5.009. Test the series for convergence or divergence. § 41–19e-n n = 1 converges diverges
Suppose that an >0 and bn >0 for all n2N (N an integer). If lim =...
Suppose that an >0 and bn >0 for all n2N (N an integer). If lim = , what can you conclude about the convergence of an? A. a, diverges if by diverges, and an converges if bn converges. an diverges if by diverges. c. a, converges if be converges. OD. The convergence of an cannot be determined.
11. Let an >0 and assume that bn = n+1 + B. What can we say...
11. Let an >0 and assume that bn = n+1 + B. What can we say about the convergence of an? an
(b) Determine whether the series Σ7n+= converges or diverges. n=1 Σ(-1)n+1n2+1 (c) Determine whether the series converg...
(b) Determine whether the series Σ7n+= converges or diverges. n=1 Σ(-1)n+1n2+1 (c) Determine whether the series converges absolutely, con- n= 1 verges conditionally or diverges (d) Find the interval of convergence for the power series Σ(-1)k (2r)* k-2
(b) Determine whether the series Σ7n+= converges or diverges. n=1 Σ(-1)n+1n2+1 (c) Determine whether the series converges absolutely, con- n= 1 verges conditionally or diverges (d) Find the interval of convergence for the power series Σ(-1)k (2r)* k-2
2. n=1 n=1 3n2 – 2 (-1)" 4n5/2 + n a. Determine whether converges or diverges....
2. n=1 n=1 3n2 – 2 (-1)" 4n5/2 + n a. Determine whether converges or diverges. 3n2 – 2 3n2 – 2 |(-1)" 4n5/2 + n 4n5/2 + n b. Determine whether n=1 converges or diverges. 3n2 – 2 (-1)" 4n5/2 + n c. Based on (a) and (b), is n=1 absolutely convergent, conditionally convergent, or divergent?
00 and an+12a, >0 for all n21. Which of the following ste ing statements 3. Suppose...
00 and an+12a, >0 for all n21. Which of the following ste ing statements 3. Suppose lima, be true? M. Α. Σ. diverges. B. § (-1)", converges. c. & converges. D. Šal) converges. E. Ea, converges. M IM IM. requires This world justification) 4. Which of the following series is conditionally convergent? KH C D which Sha E ŽGO
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...
30) Determine whether the series converges absolutely, converges conditionally, or diverges. Be sure to indicate wh...
30) Determine whether the series converges absolutely, converges conditionally, or diverges. Be sure to indicate which test you are applying and to show all of your work. (The final exam may include different series that require different convergence tests from the test required in these problems) 3" 2" c) b) n-1 n 2"n e)Σ d) n-2川Inn (2n
30) Determine whether the series converges absolutely, converges conditionally, or diverges. Be sure to indicate which test you are applying and to show...
i need help with questions17, 18, 19 and 20 please !! Provide an appropriate response. 17)...
i need help with questions17, 18, 19 and 20 please
!!
Provide an appropriate response. 17) Suppose that an >O and b>0 for all na N(N an integer). If lim , what can you conclude 17) about the convergence of Yan? A) Yan converges it on converges B) Yar divergesit n diverges, and an converges it or converges Yan diverges if on diverges D) The convergence of an cannot be determined. Use the Ratio Test to determine if the series...
To test the series e 2n for convergence, you can use the Integral Test. (This is...
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...
7. -16.25 points Scalc7 11.6.001. What can you say about the series an in each of the following cases? lim an+1 = 3 nan absolutely convergent conditionally convergent divergent cannot be determined (b) lim. Sat2 | = 0.9 absolutely convergent conditionally convergent divergent cannot be determined lim an+1 = 1 O absolutely convergent conditionally convergent divergent cannot be determined Submit Answer 5. -16.25 points Scalc7 11.5.009. Test the series for convergence or divergence. § 41–19e-n n = 1 converges diverges
Suppose that an >0 and bn >0 for all n2N (N an integer). If lim = , what can you conclude about the convergence of an? A. a, diverges if by diverges, and an converges if bn converges. an diverges if by diverges. c. a, converges if be converges. OD. The convergence of an cannot be determined.
11. Let an >0 and assume that bn = n+1 + B. What can we say about the convergence of an? an
(b) Determine whether the series Σ7n+= converges or diverges. n=1 Σ(-1)n+1n2+1 (c) Determine whether the series converges absolutely, con- n= 1 verges conditionally or diverges (d) Find the interval of convergence for the power series Σ(-1)k (2r)* k-2
(b) Determine whether the series Σ7n+= converges or diverges. n=1 Σ(-1)n+1n2+1 (c) Determine whether the series converges absolutely, con- n= 1 verges conditionally or diverges (d) Find the interval of convergence for the power series Σ(-1)k (2r)* k-2
2. n=1 n=1 3n2 – 2 (-1)" 4n5/2 + n a. Determine whether converges or diverges. 3n2 – 2 3n2 – 2 |(-1)" 4n5/2 + n 4n5/2 + n b. Determine whether n=1 converges or diverges. 3n2 – 2 (-1)" 4n5/2 + n c. Based on (a) and (b), is n=1 absolutely convergent, conditionally convergent, or divergent?
00 and an+12a, >0 for all n21. Which of the following ste ing statements 3. Suppose lima, be true? M. Α. Σ. diverges. B. § (-1)", converges. c. & converges. D. Šal) converges. E. Ea, converges. M IM IM. requires This world justification) 4. Which of the following series is conditionally convergent? KH C D which Sha E ŽGO
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...
30) Determine whether the series converges absolutely, converges conditionally, or diverges. Be sure to indicate which test you are applying and to show all of your work. (The final exam may include different series that require different convergence tests from the test required in these problems) 3" 2" c) b) n-1 n 2"n e)Σ d) n-2川Inn (2n
30) Determine whether the series converges absolutely, converges conditionally, or diverges. Be sure to indicate which test you are applying and to show...
i need help with questions17, 18, 19 and 20 please
!!
Provide an appropriate response. 17) Suppose that an >O and b>0 for all na N(N an integer). If lim , what can you conclude 17) about the convergence of Yan? A) Yan converges it on converges B) Yar divergesit n diverges, and an converges it or converges Yan diverges if on diverges D) The convergence of an cannot be determined. Use the Ratio Test to determine if the series...
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...
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