Question Practice

What is the definition of continuity at a point c for a function f?

Attempt the question, check the explanation, and continue with similar questions to build confidence before exams.

MCQ_SA

Single Answer MCQ

Q-00077863

f is defined at c and equals the left-hand limit at c

Both limits exist and equal the function's value at c

The function's value is always greater than limits at c

Limits at c do not need to exist for continuity

Video Explanation

Watch Video Solution

Keep Practising

Students who asked this also explored

Continue with nearby questions to strengthen the same chapter concept while you still have the context fresh in mind.

Q1.

Which of the following functions is continuous at x = 2?

Q2.

At which point is the function f(x) = {2 if x < 1, 3 if x ≥ 1} discontinuous?

Q3.

Which condition is necessary for differentiability at a point?

Q4.

How do you identify a removable discontinuity in a function?