Home
Class 11
MATHS
Evaluate the following limit: (lim)(x->0...

Evaluate the following limit: `(lim)_(x->0)(sin5x-sin3x)/(sinx)`

Text Solution

Verified by Experts

`(lim)_(x->0)(sin5x-sin3x)/(sinx)`

We know,

`(lim)_(x->0) (sin x)/(x)=1`

`(lim)_(x->0) (tan x)/(x)=1`

`(lim)_(x->0)(5x-3x)/(x)`

`(lim)_(x->0)(2x)/(x)=2`

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INTRODUCTIONS TO 3-D COORDINATE GEOMETRY

    RD SHARMA|Exercise Solved Examples And Exercises|114 Videos
  • LINEAR INEQUATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|163 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following limits: lim_(xrarr0)((sin5x-sin3x))/(sinx)

Evaluate of the following limit: (lim)_(x->0)(x-sinx)/(x^3)

Evaluate the following limit: (lim)_(x->0)(e^(sinx)-1)/x

Evaluate the following limit: (lim)_(x rarr0)(s in3x-s in x)/(sin x)

Evaluate the following limit: (lim)_(x->0)(t a n2x-x)/(3x-sin x)

Evaluate the following limits: lim_(xrarr0)((sinx-2sin3x+sin5x))/(x)

Evaluate the following limits: lim_(xrarr0)(sin2x+sin3x)/(2x+sin3x)

Evaluate the following limits: lim_(xrarr0)(sin5x)/(sin8x)

Evaluate the following limit: (lim)_(x->0)(e^(sin2x)-e^(sin\ x))/x

Evaluate the following limits: lim_(xrarr0)((sin3x+sin5x))/((sin6x-sin4x))