Home
Class 12
MATHS
The integral value of n so that lim(x to...

The integral value of n so that `lim_(x to 0) f(x)` where `f (x) = ((sin x-x) (2 sin x-ln ((1+x)/(1-x))))/(x ^(n))`is a finite non-zero number, is:

A

2

B

4

C

6

D

8

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    VK JAISWAL ENGLISH|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|16 Videos
  • LIMIT

    VK JAISWAL ENGLISH|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|8 Videos
  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|6 Videos
  • LOGARITHMS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|19 Videos

Similar Questions

Explore conceptually related problems

The integral value of n so that lim_(x->0) f(x) where f(x) ={(sinx-x)(2sinx-ln((1+x)/(1-x)))}/x^n is a finite non-zero number

Calculate lim_(x to 0) f(x) , where f(x) = (1)/(x^(2)) for x gt 0

Find lim_(x to 1) f(x) , where f(x) = {{:(x + 1, x != 1),(0, x = 1):}}

Let lim_(x to 0) f(x) be a finite number, where f(x) = ("sin" x + ae^(x) + be^(-x) + cln (1 + x))/(x^(3)) a,b,e in R

Let lim_(x to 0) f(x) be a finite number, where f(x) = ("sin" x + ae^(x) + be^(-x) + cln (1 + x))/(x^(3)) a,b,e in R

The integer n for which lim_(x->0)((cosx-1)(cosx-e^x))/(x^n) is finite nonzero number is ________

The integer n for which lim_(x->0)((cosx-1)(cosx-e^x))/(x^n) is finite nonzero number is ________

Find number of roots of f(x) where f(x) = 1/(x+1)^3 -3x + sin x

Number of values of x in [0, pi] where f (x) = [4 sin x-7] is non derivable is

Find the integral value of n for which lim_(x->0)(cos^2x-cosx-e^xcosx+e^x-(x^3)/2)/(x^n) is a finite nonzero number