Limit of Taylor Polynomial for Tn(x) as n Approaches Infinity

[Kqwert]

Homework Statement

Let Tn(x)=1+2x+3x^2+...+nx^(n-1)

Find the value of the limit lim n->infinity Tn(1/8).

The Attempt at a Solution

How do I solve this? I know how to write the polynomial as a series, but not sure how if this is the best way of finding the limit.

 

[PeroK]

Homework Statement

Let Tn(x)=1+2x+3x^2+...+nx^(n-1)

Find the value of the limit lim n->infinity Tn(1/8).

The Attempt at a Solution

How do I solve this? I know how to write the polynomial as a series, but not sure how if this is the best way of finding the limit.

You need to make your best effort and show us how far you can get.

 

[Kqwert]

I solved it now - thanks.