Home
Class 12
MATHS
If a,b and c are real numbers then the v...

If `a,b and c` are real numbers then the value of `lim_(t->0)ln(1/tint_0^t(1+asinb x)^(c / x)dx)` equals

A

abc

B

`(ab)/(c )`

C

`(bc)/(a)`

D

`(ca)/(b)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

If a,b and c are real numbers then the value of lim_(t rarr0)ln((1)/(t)int_(0)^(t)(1+a sin bx)^((c)/(x))dx) equals

The value of lim_(xto0)(1)/(x) int_(0)^(x)(1+ sin 2t)^(1/t) dt equals :

5.Find the value of lim_(x->0) log(1+x)/(x)

5.Find the value of lim_(x->0) log(1+x)/(x)

The value of lim_(a rarr oo)(1)/(a^(2))int_(0)^(a)ln(1+e^(x))dx equals

The value of lim_(t rarr0)(ln(cos(sin t)))/(t^(2)) is

The value of (lim_(x rarr0)(1)/(x^(6))int_(0)^(x^(2))sin(t^(2))dt) is equal to

Suppose that a and b(b!=a) are real positive numbers, the value of lim_(t to0)((b^(t+1)-a^(t+1))/(b-a))^(1//t) has the is equal to

The value of lim_(xrarr0) (log_e(1+x)-x)/(x{(1+x)^(1//x)-e}) equal to

The value of lim_(xrarr0)(ln(2-cos15x))/(ln^(2)(sin3x+1)) is equal to