Question

The function f(x)=\(\frac{1}{x^3-3x^2-10x+24}\)is continuous at which of the following?

(a) 1

(b) 2

(c) 3

(d) 4

I have been asked this question during an online exam.

Asked question is from Continuity topic in chapter Complex Function Theory of Engineering Mathematics

Answer 1

The correct choice is (a) 1

The best I can explain: When we substitute x=2, x=3 or x=4 in the function, we get the denominator as 0. There by, making the function discontinuous at these points.

At x = 1, we get f(1)=\(\frac{1}{12}\) which is continuous.