(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

This should be easy but I can't find why.

Why is the following true for 0<x<1,

[tex]\lim_{n \rightarrow \infty}nx(1-x^2)^n = 0 [/tex]

2. Relevant equations

3. The attempt at a solution

I understand why (1-x^2)^n goes to zero, but the nx part is not bounded and seems to be going to infinity?

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# Limit question

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