A community for students.
Here's the question you clicked on:
 0 viewing
Silenthill
 3 years ago
Find the sum of the series and explain how you know the sum converges to this value.
Sum of (((1)^(n+1))/n) n=1, infinty.
Silenthill
 3 years ago
Find the sum of the series and explain how you know the sum converges to this value. Sum of (((1)^(n+1))/n) n=1, infinty.

This Question is Open

Silenthill
 3 years ago
Best ResponseYou've already chosen the best response.0\[\sum_{n=1}^{\infty} ((1)^{n+1} x^n)/n \]

Silenthill
 3 years ago
Best ResponseYou've already chosen the best response.0ln(1+1)=ln(2) but how you know it converges to this value?

blockcolder
 3 years ago
Best ResponseYou've already chosen the best response.0Alternating series test.

joemath314159
 3 years ago
Best ResponseYou've already chosen the best response.0Are you familiar with Taylor Series or Maclaurin Series?

joemath314159
 3 years ago
Best ResponseYou've already chosen the best response.0If you try to compute the Maclaurin series of:\[\ln(x+1)\]you will obtain the power series in your question.

Zarkon
 3 years ago
Best ResponseYou've already chosen the best response.1differentiate the series...sun the then geometric series...integrate the series

Zarkon
 3 years ago
Best ResponseYou've already chosen the best response.1*integrate the closed form after summing the geometric
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.