Limits of Trigonometric Functions JEE Notes | EduRev

Mathematics (Maths) Class 11

JEE : Limits of Trigonometric Functions JEE Notes | EduRev

The document Limits of Trigonometric Functions JEE Notes | EduRev is a part of the JEE Course Mathematics (Maths) Class 11.
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 limit of Trigonometric Functions

(a) Limits of Trigonometric Functions JEE Notes | EduRev = 1 (approach from left side)

(b) Limits of Trigonometric Functions JEE Notes | EduRev = 1 (approach from right side)

(c)Limits of Trigonometric Functions JEE Notes | EduRev = 1

(d) Limits of Trigonometric Functions JEE Notes | EduRev = 1

[Where x is measured in radians]

Ex.17 Find Limits of Trigonometric Functions JEE Notes | EduRev

Sol. 

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Ex.18 Evaluate : Limits of Trigonometric Functions JEE Notes | EduRev

 Sol.

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

 

Ex.19 Solve Limits of Trigonometric Functions JEE Notes | EduRev

Sol. 

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

 

Note : Limit Using Expansion of Functions

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

 

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Ex.20 Find Limits of Trigonometric Functions JEE Notes | EduRev

Sol.

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

 

Ex.21 Find Limits of Trigonometric Functions JEE Notes | EduRev

Sol.

This is of the form 0/0 if we put x = 1. Therefore we put x = 1 + h and expand.

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

 

Ex.22 Evaluate Limits of Trigonometric Functions JEE Notes | EduRev

Sol.

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Ex.23 Let f(x) be a function such that Limits of Trigonometric Functions JEE Notes | EduRev Find the values of a and b such that Limits of Trigonometric Functions JEE Notes | EduRev

Sol.

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

R.H.S. is finite then L.H.S. is also finite, then 1 + a –b = 0  and Limits of Trigonometric Functions JEE Notes | EduRev

 

Ex.24 If the Limits of Trigonometric Functions JEE Notes | EduRev exists and has the value equal to l, then find the value of Limits of Trigonometric Functions JEE Notes | EduRev

Sol.

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev Use binomial expansion to get the following relations :

Limits of Trigonometric Functions JEE Notes | EduRev

Limits of Trigonometric Functions JEE Notes | EduRev

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