Question

f(x) = c ∀ x ∈ R is continuous on R for a fixed c ∈ R.

(a) False

(b) True

This question was addressed to me during an interview for a job.

This interesting question is from Continuity in division Continuity and Differentiability of Mathematics – Class 12

Answer 1

Correct option is (b) True

The best explanation: If a ∈ R then f(a) = c

limx→a⁡f(x)=limx→a⁡c=c=f(a)

Hence, f(x) is continuous at any point a ∀ R.