Home
Class 12
MATHS
Evaluate lim(xto 0)(a^(x)-b^(x))/x...

Evaluate `lim_(xto 0)(a^(x)-b^(x))/x`

Text Solution

Verified by Experts

The correct Answer is:
`=log(a//b)`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|39 Videos
  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Evaluate : lim_(xto0) (a^(x)-b^(x))/x

Evaluate : lim_(xto 0)(3^(x)-2^(x))/(tanx)

Evaluate lim_(xto0)(3^(2x)-2^(3x))/(x).

Evaluate lim_(xto0) ((a^(x)+b^(x)+c^(x))/(3))^(2//x),(a,b,cgt0)

Evaluate lim_(xto0)((ab)^(x)-a^(x)-b^(x)+1)/(x^(2))

Evaluate : lim_(xto0) (e^(x) -e^(-x))/x

Evaluate lim_(xto0)(ae^(x)-b)/x=2 . Find a and b

Evaluate lim_(xto0) (e^(x)-e^(xcosx))/(x+sinx).

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

Evaluate lim_(xto0) (e^(x)+e^(-x)-2)/(x^(2))