Determine the continuity of f(x) = 2x + 3 for x 1 at x = 1. A. Continuous B. Discontinuous (LHL ≠ RHL) C. Discontinuous (LHL ≠ f(1)) D. Discontinuous (RHL ≠ f(1)) Answer: A) Continuous Explanation: LHL = 2(1) + 3 = 5. RHL = (1)² + 4 = 5. f(1) = 5. Since LHL = RHL = f(1), the function is continuous.

imo class 12 continuity and differentiability

Determine the continuity of f(x) = 2x + 3 for x < 1, f(x) = 5 for x = 1, and f(x) = x² + 4 for x > 1 at x = 1.

VAVidaara Admin Asked 8d ago 0 views 0 answers

Determine the continuity of f(x) = 2x + 3 for x < 1, f(x) = 5 for x = 1, and f(x) = x² + 4 for x > 1 at x = 1.

Answer: A) Continuous

Explanation: LHL = 2(1) + 3 = 5. RHL = (1)² + 4 = 5. f(1) = 5. Since LHL = RHL = f(1), the function is continuous.