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In the following exercises, show and explain your work. (Hint: Apply the Limit Comparison Test.) 1 (a) Calculate the limit lim Cos a and use it to find out whether 1-cos converges or diverges. n=1 In(1+x) 00 (b) Calculate the limit lim and use it to find out whether ) In 1+ converges or diverges. n=1 Show and explain ALL your work (Step by Step)

In the following exercises, show and explain your work. (Hint: Apply the Limit Comparison Test.) 1 (a) Calculate the limit lim Cos a and use it to find out whether 1-cos converges or diverges. n=1 In(1+x) 00 (b) Calculate the limit lim and use it to find out whether ) In 1+ converges or diverges. n=1 Show and explain ALL your work (Step by Step)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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In the following exercises, show and explain your work. (Hint: Apply the Limit Comparison Test.) 1-cos x (a) Calculate the limit lim , and use it to find out whether 1-cos converges or diverges. x2 n n=1 In(1+x) converges or diverges. n (b) Calculate the limit lim and use it to find out whether In 1+- n=1 Show and explain ALL your work (Step by Step)
Transcribed Image Text:In the following exercises, show and explain your work. (Hint: Apply the Limit Comparison Test.) 1-cos x (a) Calculate the limit lim , and use it to find out whether 1-cos converges or diverges. x2 n n=1 In(1+x) converges or diverges. n (b) Calculate the limit lim and use it to find out whether In 1+- n=1 Show and explain ALL your work (Step by Step)
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