Home
Class 12
MATHS
lim (x to (pi)/(2)) (cos x ) ^(cos x ) i...

`lim _(x to (pi)/(2)) (cos x ) ^(cos x )` is :

A

1

B

0

C

`1/e`

D

`2/e`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMIT

    VK JAISWAL|Exercise EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)|16 Videos

  • LIMIT

    VK JAISWAL|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|11 Videos

  • INVERSE TRIGONOMETRIC FUNTIONS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|6 Videos

  • LOGARITHMS

    VK JAISWAL|Exercise Exercise-5 : Subjective Type Problems|19 Videos

Similar Questions

Explore conceptually related problems

lim_(x rarr(pi)/(2))(cos x)^(cos x) is

lim_ (x rarr (pi) / (2)) (tan x) ^ (cos x)

lim_ (x rarr (pi) / (2)) (sin (cos x) cos x) / (sin x-cos ecx)

Evaluate lim_(x to (pi)/(4)) (cos x - "sin" x)/(cos 2x)

lim_ (x rarr (pi) / (2)) (sin2x) / (cos x)

If [ ] denotes the greatest integer function, lim_(x to(pi)/2)(5 sin [cos x])/([cos x]+2) is

Evaluate: lim_(x rarr(pi)/(2))(cos x)^(cos x)

lim_(x rarr(pi)/(2))[1+(cos x)^(cos x)]^(2)= a.b.c. d.does not

(i) lim_(x to (pi)/(2)) (1+cos 2x)/((pi-2x)^(2)) (ii) lim_( x to 0) (1-cos x.sqrt(cos 2x))/(x^(2)) (iii) lim_(thetararr(pi)/(6)) (sin(theta-(pi)/(6)))/(sqrt(3)-2 cos theta)