Question: code class=asciimath>Let n>0 be a positive integer. For all x!=0, prove that f(x)=(1)/(x^(n)) is differentiable everywhere and f^(')(x)=(-n)/(x^(n+1)), by showing that the limit of the
code class="asciimath">Let n>0 be a positive integer. For all x!=0, prove that f(x)=(1)/(x^(n)) is differentiable everywhere and f^(')(x)=(-n)/(x^(n+1)), by showing that the limit of the difference quotient exists.
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