Home
Class 11
MATHS
Lim(x to oo) a^x sin(b/a^x),a, b gt 1 is...

`Lim_(x to oo) a^x sin(b/a^x),a, b gt 1` is equal to

A

b

B

1

C

`a log_e b`

D

`b log_e a`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMIT, CONTINUITY AND DIFFERENTIABILITY

    PATHFINDER|Exercise QUESTION BANK|293 Videos

  • MATHEMATICAL REASONING

    PATHFINDER|Exercise QUESTION BANK|27 Videos

Similar Questions

Explore conceptually related problems

lim_(x to oo) sinx/x = ?

Lim_(x to pi/3) sin(pi/3-x)/(2 cosx-1) is equal to

lim _( x to oo) (1+ (1)/(x))^(x//2) is equal to-

The value of lim_(x to 0) ((e^x-1)log(1+x))/sin^2x is equal to

For each x in R , let [x]be the greatest integer less than or equal to x. Then lim_(xto0^-) (x([x]+absx)sin[x])/absx is equal to a) -sin1 b) 0 c) 1 d) sin 1

lim_(x to 0) (e^(x^2) - 1)/sin^2x

Let f : R to R be a real function. The function f is double differentiable. If there exists ninN and p in R such that lim_(x to oo)x^(n)f(x)=p and there exists lim_(x to oo)x^(n+1)f(x) , then lim_(x to oo)x^(n+1)f'(x) is equal to

lim_(xto-2) (sin ^(-1) (x+2))/(x^(2) +2x) is equal to-

lim_(x->0) (Cosx -1)/x is equal to

lim_(xto0) (xcot(4x))/(sin^2x cot^2(2x)) is equal to