Convergence of Series: Proving and Finding the Sum

[aleebai]

prove the convergence of the series and find the sum.

please help me

 

[R136a1]

What series tests do you know?

 

[aleebai]

What series tests do you know?

i don't understand your question /

 

[R136a1]

i don't understand your question /

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?

 

[aleebai]

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?

sign Leibniz , Dalambers

 

[R136a1]

sign Leibniz , Dalambers

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

 

[aleebai]

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

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

 

[R136a1]

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

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?