Home
Class 12
MATHS
Let f(x)=int(-x)^(x)(t sin at + bt +c) d...

Let `f(x)=int_(-x)^(x)(t sin at + bt +c) dt, ` where a,b,c are non-zero real numbers , then `lim_(x rarr0) (f(x))/(x)` is

A

independent of a

B

independent of a and b , and has the value equals to c

C

independent a, b and c

D

dependent only on c

Text Solution

Verified by Experts

The correct Answer is:
A,D
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|17 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|4 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Definite intefral Exercise 1 : Single Option Correct Type Questions|1 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • DETERMINANTS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr 0)(tan x)/(x) is :

lim_(x rarr 0) (|x|)/x is :

lim_(x rarr 0) ((x+1)^5-1)/x is :

lim_(x rarr 0)(sin ax)/(bx) is :

Evaluate : lim_(x rarr 0) (log(1+x))/x .

Evaluate : lim_(x rarr 0) (x(e^x-1))/(1-cosx) .

Prove that : lim_(x rarr 0^+)(x)/(|x|)=1 .

Compute lim_(x rarr 0)(3^x-2^x)/x .

Prove that : lim_(x rarr 0^-)(x)/(|x|)= -1 .

Prove that : lim_(x rarr 0) (|x|)/(x) does not exist.