Re: how to solve this limit?


Jean-Marc Gulliet wrote:
Mystera wrote:
lim ( (1+x)^(1/m) - 1 - x/m ) / x^2, x-->0.

thanks.

I just put 1/m = n, so we want the limit at 0 of
((1+x)^n - 1 - nx ) / x^2
which seems to be n-choose-2 or
n(n-1) / 2 = (m-1) / (2 m^2).

I suppose this manoeuvre can be justified :)

LH

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