Homework Help: Prove the convergence

1. Dec 2, 2013

aleebai

prove the convergence of the series and find the sum.

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2. Dec 2, 2013

R136a1

What series tests do you know?

3. Dec 2, 2013

aleebai

i don't understand your question /

4. Dec 2, 2013

R136a1

What theorems or results do you know that allow you to (dis)prove convergence?

For example, you have the ratio test. Or you have the divergence test that allow you to show convergence if the terms of the series do not converge to $0$.

So, which of these tests do you know?

5. Dec 2, 2013

aleebai

sign Leibniz , Dalambers

6. Dec 2, 2013

R136a1

OK, so try those tests. Are there any that work?

7. Dec 2, 2013

aleebai

that's it I can not decide =) wanted to ask for help, but sorry no one answers.

8. Dec 2, 2013

R136a1

Pick some test that you know, and try it! If it doesn't work, try another one.

Let's start with the first one you mentioned: the sign test, what does that say? Does this series satisfy the criteria?