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

Evaluate lim_(xto0)|x|^(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_(x to 0) ((sinx)/(x))^(((sinx)/(x-sinx))).

Evaluate lim_(xto 0^(+))(sinx)^(tanx)

Evaluate lim_(xto0^(+))(sinx)^(x)

Evaluate lim_(xto0) (2sinx-sin2x)/(x^(3))

Evaluate: lim_(xto0)(sinx-2sin3x+sin5x)/x

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