Home › UP Board Class 12 › mathematics › Continuity and Differentiability › A function $f$ is continuous at $x = a$ if:
A function $f$ is continuous at $x = a$ if:
A$f(a)$ is defined, regardless of any limit value at $x = a$
B$\lim_{x \to a} f(x) = f(a)$, with both sides defined and equal
C$f(a) = 0$, the function value at $a$ is exactly zero here
D$f'(a)$ exists at the point $a$ in the school chart here
Answer & Solution
Correct answer: B. $\lim_{x \to a} f(x) = f(a)$, with both sides defined and equal
Continuity: $\lim_{x \to a} f(x) = f(a)$.
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