alleryA function $f$ is continuous at a point $c$ if:
A$\displaystyle\lim_{x\to c} f(x) = 0$
B$\displaystyle\lim_{x\to c} f(x) = f(c)$
C$f(c) = 0$
D$f$ is differentiable at $c$ only
Answer & Solution
Correct answer: B. $\displaystyle\lim_{x\to c} f(x) = f(c)$
f is continuous at c when lim_{x→c} f(x) exists and equals f(c).
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