defence exam Coast Guard Navik GD (General Duty) 02/2025 Mock Test Series Mathematics Differential Calculus Differentiability
The function \(f\left( x \right) = \left\{ \begin{array}{l} \frac{{\tan x}}{x},x \ne 0\\ 1,\,\,x = 0 \end{array} \right.\)is
1
Continuous but not differentiable at x = 0
2
Discontinuous at x = 0
3
Continuous and differentiable at x = 0
4
Not defined at x = 0