Let f(x) = g(x) and x ≠ 0 where g is a continuous function…

Maths Functions, Limits, Continuity and Differentiability Limits Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 12, 2026

Let f(x) = g(x) and x ≠ 0 where g is a continuous function. Then f(x) exists if

g(x) is any polynomial

g(x) = x + 4

g(x) = x 2

g(x) = 2 + 3x + 4x 2

Text Solution

Verified by Experts

The correct answer is:

= = 1 and

= = –1. Hence

exists if g(x) = x or g(x) = x 2 . If g(x) = a (a ≠ 0), then = a and = –a. Thus doesn't exist in this case.

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