Home
Class 12
MATHS
underset(xto0)lim((1-cos2x)(3+cosx))/(xt...

`underset(xto0)lim((1-cos2x)(3+cosx))/(xtan4x)` is equal to

Text Solution

Verified by Experts

The correct Answer is:
C
`underset(xto0)lim((1-cos2x)(3+cosx))/(xtan4x)=underset(xto0)lim((2sin^(2)x)(3+cosx))/(x((tan4x)/(4x))xx4x)`
`=underset(xto0)lim(2sin^(2)x(3+cosx))/(4x^(2))`
`=(2)/(4)(3+1)=2`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    CENGAGE ENGLISH|Exercise Archives JEE ADVANCED|2 Videos

  • LIMITS

    CENGAGE ENGLISH|Exercise Single Correct Answer Type|59 Videos

  • LIMITS

    CENGAGE ENGLISH|Exercise Numerical Value Type|26 Videos

  • JEE 2019

    CENGAGE ENGLISH|Exercise Chapter 10|9 Videos

  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE ENGLISH|Exercise DPP 1.2|10 Videos

Similar Questions

Explore conceptually related problems

lim_(xto0) ((1-cos2x)(3+cosx))/(xtan4x) is equal to

lim_(xto0)((1-cosx)(3+cosx))/(x tan 4x) is equal to

(lim)_(xrarr0)((1-cos2x)(3+cosx)/(xtan4x)) is equal to (1) 1/2 (2) 1 (3) 2 (4) -1/4

Evaluate underset(xto0)lim(1-cos(1-cosx))/(x^(4)).

The value of lim_(xrarr0)(((1-cos4x)(5+cosx))/(xtan5x)) is equal to

Evaluate underset(xto0)lim(1-cosmx)/(1-cosnx).

lim_(xto0) (sqrt(1-cos 2x))/(sqrt2x) is equal to-

lim_(xto0)(1-cos(x^(2)))/(x^(3)(4^(x)-1)) is equal to:

underset (xto0)lim(10^(x)-2^(x)-5^(x)+1)/(l n (secx)) is equal to

Lt_(xto0)((1-cos2x)sin5x)/(x^(2)sin3x) is equal to (i) (6)/(5) (ii) 5/6 (iii) 10/3 (iv) 3/10