What Are the First Three Non-Zero Terms in the Series Expansion of (1-1/n)^1/n?

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Homework Statement

Show that the first three non-zero terms in the series expansion of (1-1/n)^1/n in ascending powers of 1/n are 1-(1/n)^2-1/2(1-n)^3 and find the term in (1/n)^4

Homework Equations

Macclaurin? Taylor?

The Attempt at a Solution

Can someone please point me on where I should touch this problem? I don't think I understand the problem correctly.

 

[Dick]

Taylor series. Take 1/n=x to be a number near zero. Expand (1+x)^(x) around x=0. Hint: that's exp(x*log(1+x)).