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Homework Statement
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]
Homework Equations
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?