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|Exercise SOLVED EXAMPLES|1 Videos
  • LIMITS

    ARIHANT MATHS|Exercise Exercise (Single Option Correct Type Questions)|38 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

Evaluate the following : lim_(theta rarr 0)(sin3 theta)/(tan2 theta) .

Evaluate the following : lim_(theta rarr 0)(sin4 theta)/(tan3 theta) .

sin^2theta+cos^2theta=1 .

Prove that (1+sin2theta)/(1-sin2theta)=((1+tantheta)/(1-tan theta))^(2)

(cosec theta -sin theta ) (sec theta - cos theta ) (tan theta + cot theta ) = 1.

Prove that : (sin theta)/(1+cos theta) + (1+cos theta)/(sin theta)= 2 cosec theta .

Evaluate the following : lim_(theta rarr 0)(1-cos theta)/(2 theta^2) .