Home
Class 11
MATHS
Let f : R to R be a differentiable funct...

Let `f : R to R` be a differentiable function such that `f(2) = -40 ,f^1(2) =- 5` then `lim_(x to 0)((f(2 - x^2))/(f(2)))^(4/(x^2))` is equal to

A

`e^(32)`

B

`sqrt(e)`

C

`1/(sqrt(e))`

D

`e`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|13 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(LINKED COMPREHENSION TYPE QUESTIONS)|11 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

Let f(x) be a twice differentiable function and f^(11)(0)=2 , then Lim_(x to 0) (2f(x)-3f(2x)+f(4x))/(x^(2)) is

Let f:RtoR be a differentiable function having f(2)=6,f'(2)=(1)/(48) .Then Lt_(x-2)int_(6)^(f(x))(4t^(3))/(x-2)dt

Let f:R to R be a function such that |f(x)|le x^(2),"for all" x in R. then at x=0, f is

Let f : (-1, 1) to R be a differentiable function with f(0) = -1 and f'(0) = 1 . Let g(x) = [f(2f(x) + 2)]^2 . Then g'(0) is equal to

Let f: R to R be a positive increasing function with Lt_(x to oo)(f(3x))/(f(x))=1 then Lt_(x to oo)(f(2x))/(f(x))=