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

Evaluate the following limit: `lim_(x->0)(sinxcosx)/(3x)`

Text Solution

Verified by Experts

`lim_(x->0) (sinxcosx)/(3x)`
`= lim_(x->0) (sinx)/x xx (cosx)/3`
`= lim_(x->0) (sinx)/x xx lim_(x->0) (cosx)/3`
`=1 xx 1/3`
`=1/3`
Promotional Banner

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)(sinxcosx0)/(3x)

Evaluate the following limit: (lim)_(x->0)(1-cos5x)/(3x^2)

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

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

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

Evaluate the following limits: lim_(xrarr0)(x cot2x)

Evaluate the following limits: lim_(xrarr0)((sin2x+3x))/((2x+sin3x))

Evaluate the following limits: lim_(xrarr0)(sin(x//4))/(x)

Evaluate the following limits : lim_(x to 0)e^(x)

Evaluate the following limits: lim_(xrarr0)((1-cos3x))/(x^(2))