converge

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December 10th 2009, 11:07 AM
charikaar

converge

$x_n=(-1)^n$ and $f(x)=x^3$

does the sequence $f(x_n)$ converge(to anything)? I know $x_n$ doesn't converge to anything. is $f(x_n)=x_nx_nx_n$ ?
December 10th 2009, 11:09 AM
Moo

Hello,

$f(x_n)=(x_n)^3=[(-1)^n]^3=[(-1)^3]^n=(-1)^n$

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