Home
Class 12
MATHS
If underset( x rarr 0 ) ( "Lim")( cos x ...

If `underset( x rarr 0 ) ( "Lim")( cos x + asin b x ) ^(1//x) = e^(2)`, then the possible value of 'a' & 'b' is

A

`a= 1, b = 2`

B

`a = 2, b = 1`

C

`a= 3, b = 2//3`

D

` a = 2//3, b = 3 `

Text Solution

Verified by Experts

The correct Answer is:
A,B,C,D
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    MOTION|Exercise EXERCISE-3|57 Videos

  • LIMIT

    MOTION|Exercise EXERCISE-4|17 Videos

  • LIMIT

    MOTION|Exercise EXERCISE -2( LEVEL-I)|16 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MOTION|Exercise Exercise -4 Level -II|7 Videos

  • MATRICES

    MOTION|Exercise Exercise - 4 (Level-II)|28 Videos

Similar Questions

Explore conceptually related problems

underset( x rarr 0 ) ( "Lim") ((x- 1+ cos x )/( x))^((1)/( x))

Find underset( x rarr 0 ) ( "Lim") ( e^(sin x) -sin x -1)/( x^(2))

Find underset( x rarr 0 ) ( "Lim") ( e^(sinx) -sin x -1)/( x^(2))

f(x) is the function such that underset( x rarr 0 ) ("Lim") (f(x))/( x ) = 1 . If underset( x rarr 0 ) ( "Lim") ( x ( 1+ a cos x )-b sinx ) /( (f(x))^(3))= 1 , then find the value of a and b.

underset( x rarr 0 ) ("Lim") [ ((1+x)^(1//x))/( e ) ]^(1//x)

underset( x rarr 0 ) ( "lim")( x tan 2x - 2x ta n x )/(( 1- cos 2x)^(2)) is

underset( x rarr 0 ) ( "lim")( (1- cos 2x) ( 3 + cos x ))/( x tan 4x) is equal to :

The limit underset( x rarr0 ) ( "lim") ( 1- cos x sqrt( cos 2x) )/( x^(2)) is equal to

If lim_(x rarr0)(cos x+a sin bx)^((1)/(x))=e^(2), then (a,b) is equal to

Evaluate underset( x rarr0 ) ( "Lim")( e^(x) - e^(-x)-2x)/( x - sin x )