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Keep as simple as possible please. Prove lim_{n ightarrow infty} f(x)=L if and only if lim{x ightarrow 0^+}f(1x)=L

Keep as simple as possible please.

Prove lim_{n ightarrow \infty} f(x)=L if and only if lim{x ightarrow 0^+}f(1\x)=L

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