defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Differential Calculus Differentiability
Consider the function f:(0,2) → R defined by \(f(x)=\frac{x}{2}+\frac{2}{x}\) and the function g(x) defined by \(g(x)=\left\{\begin{array}{cc} \min \{f(t)\}, & 0
1
g is continuous but not differentiable at x = 1
2
g is not continuous for all x ϵ (0,2)
3
g is neither continuous nor differentiable at x = 1
4
g is continuous and differentiable for all x ϵ (0,2)