Home
Class 12
MATHS
The value of lim(xto0){sin^(2)((pi)/(2-a...

The value of `lim_(xto0){sin^(2)((pi)/(2-ax))}^("sec"^(2)(pi)/(2-bx))` is equal to

A

`e^(-a//b)`

B

`a^(-a^(2)//b^(2))`

C

`a^(2a//b)`

D

`e^(4a//b)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|40 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos
  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|4 Videos

Similar Questions

Explore conceptually related problems

lim_(xto0)(sin2x)/(1-sqrt(1-x))

Evaluate lim_(xto0) sin(picos^(2)x)/(x^(2)).

The value of lim_(x rarr(pi)/(5))(2sin^(-1)x-(pi)/(2))/(1-2x^(2)) is equal to

The value of lim_(x to (pi)/4) (sin 2x )^(sec^2x) is equal to

The value of lim_(xto pi) (1+cos^(3)x)/(sin^(2)x)" is "

lim_ (x rarr0) sin ^ (2) ((pi) / (2-px)) ^ (sec ^ (2) (((pi) / (2-4 pi))))

Evaluate lim_(x to 0) ("sin"^(2) ax)/("sin"^(2) bx)

If the value of lim_(xto0) (2 - cosx sqrt(cos2x))^(((x+2)/(x^(2)))) is equal to e^(a) then a is equal to _______ .