Let [⋅] denote the greatest integer function and f ( x ) = [tan 2 x ], then
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
Let [⋅] denote the greatest integer function and
f (x) = [tan2x], then
f (x) = [tan2x], then
does not exist x - f (x) is continuous at x = 0
- f (x) is not differentiable at x = 0
- f
Answer
(A) does not exist x → 0
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If f(x)=A ( x 2 )+B, f^ ( 1 2 )= 2 , then constants A and B are
- The derivative of f (tan x) w.r.t. g (sec x) at x = 4 , where f ’(1) = 2 and g ’ ( 2 ) = 4, is
- On the interval [0, 1] the function x 25 (1 – x ) 75 takes its maximum value at the point
- Limit _ x -1 2- 2 x x^ 2 -|x| =
- Consider two functions f (x) = _ n ( x n )^ n and g(x) = –x 4b where b = _ x ( x^ 2 +x+1 - x^ 2 +1 ) Then. g…
- If y = a x+b x^ 2 +c , where a, b, c are constants then (2xy’ + y) y’’’ is equal to
- The integer n , for which _ x 0 ( x-1) ( x-e^ x ) x^ n is a finite non-zero number is
- Let f ( x ) be a continuously differentiable function on the interval (0, ∞) such that f (1) = 2 and _ t x t^…
More Limit, Continuity and Differentiability questions · Browse all practice questions