Question

$\left( \frac{x^{2} + 1}{x^{2} + 2} \right)$is

• A. Continuous but not differentiable at x = 1
• B. Differentiable at x = 1
• C. Neither continuous nor differentiable at x = 1
• D. Continuous every where

Answer 1

Answer: (C)

Neither continuous nor differentiable at x = 1

Answer 2

$\sin ^ { - 1 } \left( \frac { 1 + x ^ { 2 } } { 2 x } \right)$ is defined only for x = – 1 and x = 1