Home
Class 11
MATHS
lim(xrarr(pi))(sinx)/(x-pi) is equal to...

`lim_(xrarr(pi))(sinx)/(x-pi)` is equal to

A

1

B

2

C

`-1`

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
C
Given, `lim_(xto(pi))(sinx)/(x-pi)` `[therefore sintheta=sin(pi-theta)]`
`=-lim_(xto(pi))(sin(pi-x))/(pi-x)=-1` `[therefore lim_(xto0)(sinx)/(x)=1 " and " xto0 rArr xto(pi)]`
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NCERT EXEMPLAR|Exercise FILLERS|4 Videos

  • LIMITS AND DERIVATIVES

    NCERT EXEMPLAR|Exercise LONG ANSWER TYPE QUESTIONS|11 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NCERT EXEMPLAR|Exercise Fillers|16 Videos

  • LINEAR INEQUALITIES

    NCERT EXEMPLAR|Exercise Objective Type Questions|14 Videos

Similar Questions

Explore conceptually related problems

lim_(xrarr0^-)(sinx)/(sqrt(x)) is equal to

lim_(xrarr0)(|sinx|)/(x) is equal to

lim_(xrarr0) (sinx)/(x)= ?

lim_(xrarr0)(tan2x-x)/(3x-sinx) is equal to

lim_(x to pi/2)(1-sinx)/(cosx) is equal to :

(lim_(1))_(x rarr1)(sin pi x)/(x-1) is equal to -pi b*pi c*-(1)/(pi) d.(1)/(pi)