Explain why assigning (when this limit exists and is finite) makes the function…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Explain why assigning f(a)=lim⁡x→af(x)f(a)=\displaystyle\lim_{x\to a}f(x) (when this limit exists and is finite) makes the function ff continuous at x=ax=a.

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