$\displaystyle x_n=(-1)^n$ and $\displaystyle f(x)=x^3$ does the sequence $\displaystyle f(x_n)$ converge(to anything)? I know $\displaystyle x_n$ doesn't converge to anything. is $\displaystyle f(x_n)=x_nx_nx_n$?
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Hello, $\displaystyle f(x_n)=(x_n)^3=[(-1)^n]^3=[(-1)^3]^n=(-1)^n$
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