Question
Given that $f$ and $g$ are continuous at a number $a$ and $g(a) \neq 0,$ prove that $f / g$ is continuous at $a$
Step 1
A function $f$ is continuous at a point $a$ if $\lim_{x \to a} f(x) = f(a)$. Similarly, $g$ is continuous at $a$ if $\lim_{x \to a} g(x) = g(a)$. Show more…
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