Home
Class 12
MATHS
If ("lim")(xvec0)(x^(-3)sin3x+a x^(-2)+b...

If `("lim")_(xvec0)(x^(-3)sin3x+a x^(-2)+b)` exists and is equal to 0, then `a=-3a n db=9/2` `a=3a n db=9/2` `a=-3a n db=-9/2` `a=3a n db=-9/2`

A

`a=-3, b=9/2`

B

`a=3,b=9/2`

C

`a=-3,b=(-9)/2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 3|10 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 4|4 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise For Session 1|9 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

int (3)/(9+x^2) dx is equal to :

If ("lim")_(xvec0)(1+a x+b x^2)^(2/x)=e^3, then find the value of aa n dbdot

Knowledge Check

  • int_(0)^(2//3) (dx)/(4+9x^(2)) equals

    A
    `(pi)/(6)`
    B
    `(pi)/(12)`
    C
    `(pi)/(24)`
    D
    `(pi)/(4)`
  • int_(0)^(2//3) (dx)/(4+9x^(2)) equals

    A
    `(pi)/(6)`
    B
    `(pi)/(12)`
    C
    `(pi)/(24)`
    D
    `(pi)/(4)`
  • Similar Questions

    Explore conceptually related problems

    ("lim")_(xvec0)(1n(1+2h)-21 n(1+h))/(h^2)=____

    If lim_(x rarr 3)(x^n-3^n)/(x-3)=108 , and n in N , find n.

    If x^3+3x^2-9x+c is of the form (x-alpha)^2(x-beta) then c is equal to

    If (4)^(log_(9) 3)+(9)^(log_(2) 4)=(10)^(log_(x) 83) , then x is equal to

    Solve |x^(2)-3x-4|=9-|x^(2)-1|

    If ("lim")_(xvec0)[1+x1n(1+b^2)]^(1/x)=2bsin^2theta,b >0,s mftheta in (-pi,pi], then the value of theta is +-pi/4 (b) +-pi/3 (c) +-pi/6 (d) +-pi/2