f(x) = {(x^2 - 4x + 3)/(x^2 - 1), x ≠ 1, 2, x = 1 is (A) continuous at x = 1.

Question

Function \(f(x) = \begin{cases} \frac{x^2 - 4x + 3}{x^2 - 1}, & \quad x\neq 1\\ 2, & \quad x=1 \end{cases},\) is

f(x) = {(x² - 4x + 3)/(x² - 1), x ≠ 1, 2, x = 1 is

(A) continuous at x = 1.

(B) continuous at x = -1.

(C) continuous at x = 1 and x = -1.

(D) discontinuous at x = 1.

Answer 1

Correct answer is

(D). discontinuous at x = 1.