Home
Class 12
MATHS
' lim (x to 0) (a^(x)-b^(x))/(e^(x)-1) i...

' lim_ (x to 0) (a^(x)-b^(x))/(e^(x)-1)` is equal to

A

`"log"(a)/(b)`

B

`"log"(b)/(a)`

C

log ab

D

loga+b

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|47 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|9 Videos
  • LINEAR INEQUALITIES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|38 Videos

Similar Questions

Explore conceptually related problems

lim_(xto0)(e^(x)-e^(-x))/sinx

Evaluate lim_(xto0) (x(e^(x)-1))/(1-cosx) is equal to

If lim_(xto0)(f(x))/(sin^(2)x)=8,lim_(xto0)(g(x))/(2cosx-xe^(x)+x^(3)+x-2)=lamda" and " lim_(x to 0)(1+2f(x))^((1)/(g(x)))=(1)/(e)," then" lim_(x to 0)(1+f(x))^((1)/(2g(x))) is equal to

lim_(xto0)(e^(tanx)-e^(x))/(tanx-x)=

lim_(xto0)(e^(sinx)-1)/x=

lim_(xto0)(log(1+3x^(2)))/(x(e^(5x)-1)) =

lim_(xto0)((1+2x)^(10)-1)/(x) is equal to

lim_(xto0)(e^(x^(2))-cosx)/(x^(2))=

Evaluate lim_(xto0) (e^(x)-1-x)/(x^(2)).