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## Homework Statement

This is the question of mine that I'm having a little confusion about. I know the whole process in which you use the ratio test to determine the radius of convergence and using that you test the end points of the summation to see if they converge at the end points aswell.

However, I'm what I'm confused about is how to determine when to start the summation at 0 and what exactly does it mean when the summation starts at for example, 2.

I'm asking this because in the textbook that we are using for this course, sometimes they use the summation starting at 1 and sometimes starting at 0.

So how do we determine the the answer to the above question and if someone can just explain to me when to start the summation at a different number other than 0.

## Homework Equations

Ratio test eqn. lim n->infinity |An+1/An|

## The Attempt at a Solution

Took the limit and factored the absolute value of x however the summation starting at 2 is confusing me.