Home
Class 12
MATHS
If lim(x->0) (x^(-3)sin3x+ax^(-2)+b) exi...

If `lim_(x->0) (x^(-3)sin3x+ax^(-2)+b)` exists and is equal to `0` then

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

If lim_(x rarr0)(x^(-3)sin3x+ax^(-2)+b) exists and is equal to 0 then

If lim_(x rarr0)(x^(-3)sin3x+ax^(-2)+b) exists and is equal to 0, then (a)a=-3 and b=(9)/(2)(b)a=3 and b=(9)/(2)(c)a=-3 and b=-(9)/(2) (d) a=3 and b=-(9)/(2)

Knowledge Check

  • If lim_(x to 0) (x^(-3) sin 3x +ax^(-2) +b) exists and is equal to 0, then

    A
    `a= -3 and b = 9//2`
    B
    `a = 3and b=9//2`
    C
    `a = -3 and b = -9//2`
    D
    `a=3 and b = -9//2`

  • If underset(x to 0)lim (x^(-3) sin 3x+ax^(-2) +b) exists and is equal to 0, then

    A
    a=-3 and b=9/2
    B
    a=3 and b=9/2
    C
    a=-3 and b=-9/2
    D
    a=3 and b=-9/2

  • If lim_(xrarr0)(2asinx-sin2x)/(tan^3x) exists and is equal to 1, then the value of a is

    A
    2
    B
    1
    C
    0
    D
    `-1`

    • Similar Questions

    Explore conceptually related problems

    If lim_(xto0)(x^(-3)sin3x+ax^(-2)+b) exists and is equal to zero the value of a+2b is………..

    17lim8. If lim (x sin3x ax b) exists and is x-20 equal to zero,then the value of a+2b

    If Lim_(x rarr 0) (1-cosx)/(e^(ax)-bx-1) exist and is equal to 1, then (a^(2) + b^(2)) equals

    If lim_(xrarr0)(2a sin x-sin 2x)/(tan^(3)x) exists and is equal to 1, then the value of a is

    If lim_(x to 0) ((4x - 1)^(1/3) + a + bx)/(x) exists and is equal to 1/3 then ab =

    Home
    Profile