Home
Class 12
MATHS
Evaluate lim(xto0) (a^(tanx)-a^(sinx))/(...

Evaluate `lim_(xto0) (a^(tanx)-a^(sinx))/(tanx-sinx),agt0`

Text Solution

Verified by Experts

The correct Answer is:
`ln a`

`underset(xto0)lima^(sinx)xx((a^(tanx-sinx)-1))/((tanx-sinx))=a^(0)" 1n "a=" 1n "a`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    CENGAGE|Exercise Exercise 2.7|7 Videos
  • LIMITS

    CENGAGE|Exercise Exercise 2.8|8 Videos
  • LIMITS

    CENGAGE|Exercise Exercise 2.5|12 Videos
  • JEE 2019

    CENGAGE|Exercise Chapter 10|9 Videos
  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE|Exercise DPP 1.2|10 Videos

Similar Questions

Explore conceptually related problems

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

Evaluate lim_(xto0) (tan2x-x)/(3x-sinx).

Evaluate lim_(xto0)(tanx-sinx)/(x^(3)).

Evaluate lim_(xto0) (e^(sinx)-(1+sinx))/((tan(sinx))^(2))

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

Evaluate lim_(xto0)(a+bx)/(c+x)

Evaluate lim_(xto0)(sinax)/(bx)

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

Evaluate lim_(xto0) (cosx)^(cotx).

Evaluate lim_(x to 0) ((sinx)/(x))^(((sinx)/(x-sinx))).