Home
Class 12
MATHS
Evaluate lim(xto(pi)/(2)) (1+cos2x)/((pi...

Evaluate `lim_(xto(pi)/(2)) (1+cos2x)/((pi-2x)^(2)).`

Text Solution

Verified by Experts

`underset(xto(pi)/(2))lim(1+cos2x)/((pi-2x)^(2))" "`(0/0 from)
`underset(hto0)lim(1-cos(pi-2x))/((pi-2x^(2)))=underset(xto(pi)/(2))lim(2sin^(2)((pi)/(2)-x))/(4((pi)/(2)-x)^(2))`
`=1/2(underset(xto(pi)/(2))limsin((pi)/(2)-x)/(((pi)/(2)-x)))^(2)`
`1/2`
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    CENGAGE ENGLISH|Exercise Solved Examples|15 Videos

  • LIMITS

    CENGAGE ENGLISH|Exercise EXERCISE 2.1|10 Videos

  • JEE 2019

    CENGAGE ENGLISH|Exercise Chapter 10|9 Videos

  • LINEAR COMBINATION OF VECTORS, DEPENDENT AND INDEPENDENT VECTORS

    CENGAGE ENGLISH|Exercise DPP 1.2|10 Videos

Similar Questions

Explore conceptually related problems

Lim_(x to pi/2) (1+cos 2x)/(pi-2x)^(2)

Evaluate: lim_(x->pi/2)(1+cos2x)/((pi-2x)^2)

Lim_( x to pi/2) (1-sin x)/((pi-2x)^(2))

Evaluate lim_(xto pi/2)(1-"sin"x)^2/((pi/2-x)^(2))

Evaluate lim_(xto (pi^(-))/(2)) (cosx)^(cosx).

Lim_(x to pi/2) (1-sin x)/((pi/2-x)^(2))

Evaluate lim_(xto(pi)/(4)) (1-sin2x)/(1+cos4x).

The lim_(xto(pi)/2)(cot x-cosx)/((pi-2x)^(3)) equals

Evaluate : lim_(x to(pi)/(2))(tan 2 x)/( x - (pi)/(2))

Evaluate, lim_(xto(pi//4)) (sinx-cosx)/(x-pi/4)