Home
Class 12
MATHS
Statement 1 lim(x to pi//2)(sin(cot^(2)x...

Statement 1 `lim_(x to pi//2)(sin(cot^(2)x))/((pi-2x)^(2))=1/2`
Statement 2: `lim_(theta to 0)(sin theta)/(theta)=1` and `lim_(theta to 0)(tan theta)/(theta)=1`, where `theta` is measured in radians.

A

Statement 1 is true, Statement 2 is true, Statement 2 is correct explanation for statement 1.

B

Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation for statement 1.

C

Statement 1 is true, Statement 2 is false

D

Statement 1 is false, Statement 2 is true

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|39 Videos
  • LIMITS

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

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

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

Prove that (1+sin 2theta)/(1-sin 2theta) = ((1+tan theta)/(1-tan theta))^2

If Lim_( theta to 0) k theta cosec theta = Lim_( theta to 0) theta cosec k theta , prove that k must be pm 1 :

Prove that sin(2theta)/(1-cos2theta)=cot theta

Prove that : (1+ sin theta)/(1-sin theta) = tan^2 (pi/4 + theta/2)

Evaluate the following limit: (lim)_(theta->0)(sin3theta)/(tan2theta)

Evaluate the following limits : Lim_(theta to 0 ) (sin^(3) a theta)/(sin^(2)b theta)

Evaluate the following limits : Lim_(theta to pi/2) (1-sin theta)/((pi/2-theta)cos theta)

Evaluate the following limit : Lim_(theta to pi/4) (sin theta -cos theta)/(theta-1/4pi)

Solve sin^2 theta tan theta+cos^2 theta cot theta-sin 2 theta=1+tan theta+cot theta

cos theta + sin theta - sin 2 theta = (1)/(2), 0 lt theta lt (pi)/(2)