JEE Main 2018 — Continuity and Differentiability Questions with Solutions

If the function f defined as f x = 1 x - k - 1 e 2 x - 1 ,   x ≠ 0 is continuous at x = 0 , then ordered pai…

Let S = { λ ,   μ ∈ R × R   :   f t = λ   e t - μ sin ⁡ 2 t ,…

Let S = t ∈ R : f x = x - π   ⋅ e x - 1 sin x   is not differentiable at &#16…

Let f(x)= \arraycc(x-1)⁽¹⁾/⁽²⁻x⁾, & x>1, x ≠ 2 \ k, & x=2array . The value of k for which f is continuous at x=2 is

Let S= \(λ, µ) R × R: f(t)= (|λ| e^t-µ ) · (2|t|) ., t R, is a differentiable function \. Then S is a subest of?