Question 6.7

Solutions

leumasicOfficial

3 months ago

Notice that

f(0)=f(0)+f(0) \implies f(0)=0=\lim_{x \to 0} f(x).

It follows that

\begin{align*} \lim_{x \to a} f(x)&=\lim_{h \to 0} f(a+h)\\ &=\lim_{h \to 0}\left[f(a)+f(h)\right]\\ &=f(a)+\lim_{h \to 0}f(h)\\ &=f(a). \end{align*}

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Q 6.7

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Q 6.7