Lt(x to 0)(e^(alphax)-e^(betax))/(sin al...

`Lt_(x to 0)(e^(alphax)-e^(betax))/(sin alphax- sin betax)=`

A

1

B

`-1`

C

2

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:

A

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

If f(x)=-sqrt(25-x^(2))", then " underset(x to 1)"Lt" (f(x)-f(1))/(x-1...
Text Solution
|
f(x)=3x^(2)-4x+5,Lt(x to 1) (f(x)-f(1))/(x-1)=
Text Solution
|
Lt(x to 0)(e^(alphax)-e^(betax))/(sin alphax- sin betax)=
Text Solution
|
Lt(x to pi//2)(a^(cotx)-a^(cosx))/(cotx-cosx)=
Text Solution
|
Lt(x to 0)((1+x^(2))^(1//3)-(1-2x)^(1//4))/(x+x^(2))
Text Solution
|
Let f(a)=g(a)=k and the their nth derivatives f^(n)(a),g^(n)(a) exixst...
Text Solution
|
Lim(x to 0)(x)/(""^(3)sqrt(x^(2)+3x+8)-""^(3) sqrt(x^(2)-5x+8))=
Text Solution
|
Lt(x to 0) (tan^(4)x-sin^(4)x)/(x^(6))=
Text Solution
|
The arrangement of the following limit values in the ascending order C...
Text Solution
|
Lt(x to 0) {"cosec"^(3)x. cotx-2cot^(3)x."cosec"x+(cot^(4))/(secx)}=
Text Solution
|
If 'alpha' is a repeated root of ax^(2)+bx+c=0 then Lt(x to alpha)(tan...
Text Solution
|
Lt(x to 0) (1)/(x) sin^(-1)((2x)/(1+x^(2)))=
Text Solution
|
Lt(x to 0)(1-cos(x^(0)))/(x^(2))=
Text Solution
|
The correct match is
Text Solution
|
Lt(x to 0) (sin(x^(0)))/(tanx^(0))=
Text Solution
|
Lt(x to 0) ((cosx)^((1)/(2))-(cosx)^((1)/(3)))/(sin^(2)x)=
Text Solution
|
If Lim(x to 0) (sin2x+asinx)/(x^(3))=b where a,b in R then (a,b)=
Text Solution
|
Lt(x to 0) (a cosx+bx sin x-5)/(x^(4)) is finite then a =
Text Solution
|
Lt(x to oo) 2^(x)sin((a)/(2^(x)))=
Text Solution
|
Let f(2)=4 and f'(2)=4 then Lt(x to 2) (xf(2)-2f(x))/(x-2)=
Text Solution
|