Home
Class 12
MATHS
Evaluate : lim(x->0)(int0^(x^2)sinsqrt(t...

Evaluate `: lim_(x->0)(int_0^(x^2)sinsqrt(t)\ dt)/(x^3)`

A

`(3)/(2)`

B

`(1)/(3)`

C

`(1)/(2)`

D

`(2)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND CONTINUITY

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|10 Videos

  • LIMITS AND CONTINUITY

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : SINGLE OPTION CORRECT TYPE)|24 Videos

  • LIMITS AND CONTINUITY

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|2 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions ( CATEGORY 1 : Single Option Correct Type (1 Mark))|6 Videos

  • LOGARITHMS

    MTG-WBJEE|Exercise WB JEE PREVIOUS YEARS QUESTIONS|10 Videos

Similar Questions

Explore conceptually related problems

Evaluate :lim_(x rarr0)(int_(0)^(x^(2))sin sqrt(t)dt)/(x^(3))

Evaluate: lim_(x rarr0)(int_(0)^(x)cos t^(2)dt)/(x)

lim_(x to 0)(int_(0)^t(x^(2))sinsqrt(t) dt)/(x^(3)) is equl to

Let L_(1) = lim_(xrarr0^(+)) (int_(0)^(x^(2)) sinsqrt(t)dt)/(x-sinx) , then identify the correct option(s).

The value of lim_( x to 0) (int_(0)^(x) sin t^(2) dt) / x^(2) is

The value of lim_(xrarr0) (int_(0)^(x^2)sec^2t dt)/(x sin x) dx , is

The value of lim_(x rarr0)(int_(0)^(x^(2))cos t^(2)dt)/(x sin x) is