Home
Class 12
MATHS
lim(x to pi//4) (sqrt(2)-cos theta - sin...

`lim_(x to pi//4) (sqrt(2)-cos theta - sintheta)/(4theta - pi)^(2)`=

A

`1/16`

B

`1/(16sqrt(2))`

C

`1/8`

D

`1/(8sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise PROBLEM SET (1) (TRUE AND FALSE) |4 Videos

  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise PROBLEM SET (1) (FILL IN THE BLANKS) |7 Videos

  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Self Assessment Test|25 Videos

  • LINEAR PROGRAMMING

    ML KHANNA|Exercise Self Assessment Test|8 Videos

Similar Questions

Explore conceptually related problems

lim_(theta rarr pi)((sqrt(2)-cos theta-sin theta)/((4 theta-pi)^(2))

evaluate lim_(theta rarr(pi)/(4))(sqrt(2)-cos theta-sin theta)/((4 theta-pi)^(2))

The value of underset(theta to -pi/4)lim (cos theta +sin theta)/(theta+pi/4) is

int_0^(pi/2) sqrt(sintheta)cos^5theta d theta

lim_(theta rarr pi/2)(sec theta-tan theta)/(pi-2 theta)

lim_(theta rarr(pi)/(2))(sec theta-tan theta)/(pi-2 theta)

Putting x = theta- (pi) / (4) prove that lim_ (theta rarr (pi) / (4)) (sin theta-cos theta) / (theta- (pi) / (4)) = sqrt (2)

int_(pi//4) ^(pi//2) (cos theta)/((cos (theta/2) + sin (theta/2))^(3))d theta=

If theta in ((pi)/(2), (3pi)/(2)), then the value of sqrt(4 cos ^(4) theta + sin ^(2) 2 theta) + 4 cot theta cos ^(2) ((pi)/(4) +(theta)/(2)) is