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Applied Mathematics - ll : Limits | Chapter 01 | Lecture 07 Notes For Polytechnic.

Hey Everyone, I will Show you How to Evaluate Of Trigonometry Limits which is Lecture 07 Of applied mathematics 2 Chapter 01 Of Module 2 Differentiation Calculus .

This Is Very Important Lecture For All My students So Watch Video on video & Download your Notes through below given link .

Lecture 07 Topics :

1) Evaluation of Trigonometry Limits 

2 ) Questions Based On Trigonometry Limits 

Evaluation Of Trigonometry Limits 

1 ) Lim sin(θ) = 0

   θ→0 

  Where, θ in term of radian

2 ) Lim sin(θ)/θ = 1

   θ→0 

  Where, θ in term of radian

3 )  Lim tan(θ)/ θ = 1

     θ→0   

   Where, θ in term of radian

3 ) Lim cos( 1 - θ )/ θ = 0

     θ→0        

   Where, θ in term of radian

 ( Important Formula )

This is Basic Trigonometry limits formulas 

 Some Important Questions 

Question 01 :

Evaluate : Lim sin( ax )/x = ?

                    x→0 

Solution : View On this Page 

( Question 01 )

Question 02 (a): 

Evaluate : lim sin (5x )/ 2x = ?

                    x→0 

Solution : View on this page 

( Question 02 a)

Question 02(b) :

Evaluate : lim sin ax / sin bx = ?

                    x→0 

Solution : View on this page 

( Question 02 b )

Question 03 : 

Evaluate :

 lim sin 2x + sin 6x / sin 5x - sin 3x 

 x→0 

Solution : View on this page 

( Question 03 )

Question 04 : 

Evaluate : 

lim x/ tan a²x = 1/ a Find the value Of a = ?

 x→0 

Solution : View on this page 

( Question 04 )

If θ Given in degree then we always change into radian. 

Question 05 :-

Evaluate : lim sin x °/ x = ?

                    x→0 

Solution : View on this page 

( Question 05 )

Question 06 :-

Evaluate : lim tan2x / 3x = ? 

                   x→0 

Solution : View on this page 

( Question 06 )

Remember Formula :

1 + con2x = 2 Cos²x 

1 -  con2x = 2 Sin²x 

Question 07 :-

Evaluate : Lim 1- cosmx / 1 - Cosnx = ? 

                   x→0 

Solution : view on this page 

( Question 07 )

Question 08 :-

Evaluate :

 If Lim 1 - Con2x / x² = 18 Find the value of n

     x→0 

Solution : view on this page 

 ( Question 08 )

This Is complete Notes of Lecture 07 Of Chapter 01  Limits

Click For Download 

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