Home
Class 12
MATHS
Solve (i) lim(xto1) sin x (ii) lim(xto0^...

Solve (i) `lim_(xto1) sin x` (ii) `lim_(xto0^(+))[(sinx)/x]`
(iii) `lim_(xto0^(-))[(sinx)/x]`
(where [.] denotes greatest integer function)

Text Solution

Verified by Experts

The correct Answer is:
[ as `xto0-h=>t to 1-h:.[t]=0`]
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|40 Videos

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

Solve (i) lim_(xto0^(+))[(tanx)/x] (ii) lim_(xto0^(-))[(tanx)/x] (where [.] denotes greatest integer function)

lim_(xto0)[(-2x)/(tanx)] , where [.] denotes greatest integer function is

Solve lim_(xto0)["sin"(|x|)/x] , where e[.] denotes greatest integer function.

Solve lim_(xto0)[(sin|x|)/(|x|)] , where [.] denotes greatest integer function.

The value of lim_(xto0)(sin[x])/([x]) (where [.] denotes the greatest integer function) is

lim_(xto0)(sin[cosx])/(1+[cosx]) , ([.] denotes the greatest integer function)

lim_(xto0) [(1-e^(x))(sinx)/(|x|)] is (where [.] represents the greatest integer function )

Solve (i) lim_(xto0)cotx (ii) lim_(xto+oo)cot^(-1)x (where [.] denotes greatest integer function)

Prove that [lim_(xto0) (sinx)/(x)]=0, where [.] represents the greatest integer function.

Solve (i) lim_(xtooo)tan^(-1)x (ii) lim_(xto-oo)tan^(-1)x (where [.] denotes greatest integer function)