If f(x) = cases x^2 - 9/x - 3, & x ≠ 3 \\ 5, & x = 3 cases then f(x) : Option 1: is continuous at x = 3 Option 2: has removable discontinuity at x = 3 Option 3: has irremovable discontinuity at x = 3 Option 4: continuous at every real number

The answer is 'has removable discontinuity at x = 3'. View full solution:

CUET Mathematics - If f(x) = cases x^2 - 9/x - 3, & x ≠ 3 \\ 5, & x = 3 cases then f(x) : | PYQs + Solutions

CUET Mathematics 2023 15 June Shift 2

Calculus

Easy

is continuous at $x = 3$

has removable discontinuity at $x = 3$

has irremovable discontinuity at $x = 3$

continuous at every real number

✅ Correct Option: 2