# Sequence ?

##
Hey guys!! sorry cz i didn't use LATEX.

Cz i really don't know how to use it.

Need help in the first exercise,

I have to find all values of a_1 such that the sequence is converge and i have to find the limit too.

Thanks alot.

https://files.acrobat.com/a/preview/b35761b1-baaf-4004-94b9-b140bef48ec4 the link of the exercise!!!

Hey guys!! sorry cz i didn't use LATEX.

Cz i really don't know how to use it.

Need help in the first exercise,

I have to find all values of a_1 such that the sequence is converge and i have to find the limit too.

Thanks alot.

https://files.acrobat.com/a/preview/b35761b1-baaf-4004-94b9-b140bef48ec4 the link of the exercise!!!

##### 1 Answer

#### Explanation:

Given

Simplify:

Passing to the limit:

But if the series is convergent:

so:

and also:

but since

That is:

independently of how we choose