Home
Class 11
MATHS
lim(xrarrpi) (sin(pi-x))/(pi(pi-x))...

`lim_(xrarrpi) (sin(pi-x))/(pi(pi-x))`

Text Solution

Verified by Experts

`underset(xrarrpi)"lim"(sin(pi-x))/(pi(pi-x))`
`=underset(yrarr0)"lim"(siny)/(pi.y)`
`=(1)/(pi)xx1`
`=(1)/(pi)`
Let `pi-x=y`
`therefore xrarrpi`
`rArr yrarrpi-pi`
`rArr yrarr0`
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN|Exercise EX -13.2|11 Videos

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|30 Videos

  • LIMITS AND DERIVATIVES

    NAGEEN PRAKASHAN|Exercise EX-13H|9 Videos

  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|6 Videos

  • LINEAR INEQUALITIES

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|14 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr pi)(sin(pi-x))/(pi(pi-x))

lim_ (x rarr pi) ((sin (pi-x)) / (pi (pi-x)))

lim_(x rarr pi)(1-sin(x/2))/(pi-x)^2

lim_(x rarr0)(sin x)/(pi-x)

Find lim_(x rarr pi){sin(x- pi)}/{(pi(pi-x)}

lim_(x rarr pi)(sin x)/(pi-x)=

lim_ (x rarr pi) (sin3x) / (sin2x)

lim_(x rarr0)x^(2)sin(pi/x)=

" f) "lim_(x rarr pi)(sin x)/(pi-x)=?

Write the value of (lim)_(x rarr pi)(sin x)/(x-pi)