Question

A function f(x) can be continuous at a point 'a' if .

• A. $\underset{x\to a}{lim}f\left(x\right)=\infty$
• B. left limit $\ne$right limit
• C. $\underset{x\to a}{lim}f\left(x\right)=0$

Answer 1

The correct option is C $\underset{x\to a}{lim}f\left(x\right)=0$

For a function f(x) to be continous at a point 'a', the limit of the function at that point (a) needs to exist finitely and be equal to f(a).