Lt(x to 0)(sinx)^(tanx)=...

`Lt_(x to 0)(sinx)^(tanx)=`

A

`oo`

B

e

C

`e^(-1)`

D

1

Text Solution

Verified by Experts

The correct Answer is:

D

Promotional Banner

Promotional Banner

Topper's Solved these Questions

LIMITS
AAKASH SERIES|Exercise EXERCISE-II|100 Videos
INVERSET TRIGONOMETRIC FUNCTIONS
AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos
LOCUS
AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

AAKASH SERIES-LIMITS-PRACTICE EXERCISE

Lt(x to0) (e^(1//x)-1)/(e^(1//x)+1)=
Text Solution
|
Lt(x to 0)(x.e^((1)/(x)))/(1+e^((1)/(x)))=
Text Solution
|
Lt(x to 0)(sinx)^(tanx)=
Text Solution
|
Lt(x to (pi)/(2))(tanx)^(cosx)=
Text Solution
|
Lt(x to 0)((1)/(x))^(1-cosx)=
Text Solution
|
Lt(x to 0)log(2x)x=
Text Solution
|
Lt(x to 0)(log(sinx)sin2x)=
Text Solution
|
underset(x to oo)"Lt" ((x+6)/(x+1))^(x+4)=
Text Solution
|
Lt(x to 0)(64)/(x^(4))(1-"cos"(x)/(2)-"cos"(x)/(4)+"cos"(x)/(2)."cos"(...
Text Solution
|
Lt(x to (1)/(2)) (sin^(-1)x-(pi)/(6))/(2x-1)=
Text Solution
|
If f(x)=x^(2), phi(a)=b^(2),f^(1)(a)=n phi^(1) and phi^(1)(a)=ne0, the...
Text Solution
|
Let alpha and beta be the distinct roots of ax^(2)+bx+c=0," then "unde...
Text Solution
|
Lt(x to 0)((1-cos2x)(3+cosx))/(x.tan4x)=
Text Solution
|
If Deltax= |{:(e^(x),-1),(sinx-1,1):}| then Lt(x to 0)(Delta(x))/(x)=
Text Solution
|
Lt(x to oo)(x^(n))/(e^(x))=0 for
Text Solution
|
Lt(x to 0)(sin2x+a sinx)/(x^(3)) is finite then a=
Text Solution
|
If underset(x to 0)"Lt" (x(1+a cos x)-b sin x)/(x^(3))=1" then "(a,b)...
Text Solution
|
The integer 'n' is for which Lt(x to 0)((cosx-1)(cosx-e^(x)))/(x^(n)) ...
Text Solution
|
If 0 lt r lt 1" then "underset(n to oo)"Lt" (a+ar+...+ar^(n-1))=
Text Solution
|
underset(n to oo)lim (1+a+a^(2)+.....+a^(n-1))/(1+b+b^(2)+...+b^(n-1))...
Text Solution
|