- #1

MaxManus

- 277

- 1

## Homework Statement

Find the limit of

f(x) = x^2 ln(1+1/x) - x

x-> ∞

## The Attempt at a Solution

Not sure where to start, but I take the derivative

f'(x) = [itex]2x*ln(1+1/x) +x^2 \frac{ -x^{-2}}{1+1/x} -1 [/itex]

[itex]2x*ln(1+1/x) - \frac{1}{1+1/x} -1 [/itex]

the second term goes to -1 as x->∞ ant the last term is always -1. Can I say somethong about the last term and will it help me?