Most Important Selected Qs for JEE AdvancedMathematicsContinuity and Differentiability
Let the f(x)= ⁻¹ ( 1+x^2 2 x ) is
Options
- AContinuous but not differentiable at x=1
- BDifferentiable at x=1
- CNeither continuous nor differentiable at x =1
- DContinuous everywhere
Correct answer
C. Neither continuous nor differentiable at x =1
Step-by-step solution
⁻¹ 1 2 ( 1 x +x ) check f (1⁻ )= ⁻¹ 1⁺, f(1)= ⁻¹ 1, f (1⁺ )= ⁻¹ 1⁻ Hence function is discontinuous so non differentiable