Definition of Continuity at a Point
If $$\displaystyle \lim_{x \to a} f(x) = f(a)$$, which of the following statements about the function $$f$$ must be true?
A
The line $$y = f(a)$$ is tangent to the graph of $$f$$ at $$x = a$$.
B
$$f$$ is continuous at $$x = a$$.
C
$$f$$ is differentiable at $$x = a$$.
D
For all values of $$x$$, $$f(x) = f(a)$$.
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