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| ``Re: limit rule of compound function''
by nkirby on 2008-01-27 00:06:07 |
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| | What you have isn't true in general, unfortunately. Consider a function $g(x)$ which isn't continuous at $a$ but that $\lim_{x\to a} g(x)$ exists. Then for $f(x)=a$, $\lim_{x\to x_0} g(f(x))=g(a)\neq \lim_{x\to a} g(x)$. |
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