If f (x) = array ll x (3 e^ 1 / x +4 ) 2-e^ 1 / x , & x 0 0 & , x=0 array . , then f (x)…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If f (x) = \[\left\{\begin{array}{ll}
\frac{x\left(3 e^{1 / x}+4\right)}{2-e^{1 / x}}, & x \neq 0 \\
0 & , x=0
\end{array}\right.\], then f (x) is
- continuous as well as differentiable at x = 0
- continuous but not differentiable at x = 0
- differentiable but not continuous at x = 0
- None of these
Answer
(B) continuous but not differentiable at x = 0
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- The function f(x)= ( +x) (e+x) is
- Function f : R → R satisfies the functional equation f(x-y)= f(x) f(y) If f’(0) = p and f’ (a ) = q, then f’…
- The function f(x)= array ll |x-3| & , x 1 x^ 2 4 - 3 x 2 + 13 4 & , x<1 array . .
- Let [ x ] denote the greatest integer less than (or) equal to x . If f ( x ) = [ x sin π x ] then f ( x ) is
- If F(x) = f (x) g (x) and f ’ (x) g ’ (x) = c, then
- On the interval [0, 1] the function x 25 (1 – x ) 75 takes its maximum value at the point
- _ n 1 n (1+e^ 1 / n +e^ 2 / n + +e^ n-1 n ) is equal to
- Let f ( x ) be a non-constant twice differentiable function defined on (–∞, ∞) such that f ( x ) = f (1 – x )…
More Limit, Continuity and Differentiability questions · Browse all practice questions