Applied Mathematics - ll : Limits | Chapter 01 | Lecture 09 Notes For Polytechnic.
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Applied Mathematics - ll : Limits | Chapter 01 | Lecture 09 Notes For Polytechnic.
Hey Everyone, I will Show you How to Evaluate Of Inverse Trigonometry Limits & Very Important Questions which is Lecture 09 Of applied mathematics 2 Chapter 01 Of Module 2 Differentiation Calculus .
It's Very Important Lecture For All My students So Watch Video on youtube video & Download your Notes through below given link .
Lecture 09 Topics :
1 ) Evaluation Of Inverse Trigonometry Limits .
2 ) Some Questions Based On Inverse Trigonometry Limits.
Some Important Trigonometry Function :
sin(x+y) = sin(x)cos(y)+cos(x)sin(y)
cos(x+y) = cos(x)cos(y)–sin(x)sin(y)
sin(x–y) = sin(x)cos(y)–cos(x)sin(y)
cos(x–y) = cos(x)cos(y) + sin(x)sin(y)
And Also ,
SinA + SinB = 2sin (A + B )/2 Cos( A - B )/2
SinA - SinB = 2Cos (A + B )/2 Sin( A - B )/2
CosA + CosB = 2Cos(A + B )/2 Cos( A - B )/2
CosA - CosB = - 2Sin (A + B )/2 Sin( A - B )/2
Evaluation Of Inverse Trigonometry Limits
a ) Lim Sin-¹(θ)/θ = 1
θ→0
Where, θ in term of radian
b ) Lim tan-¹(θ)/ θ = 1
θ→0
Where, θ in term of radian
 |
Important PointsSome Important Questions |
Question 01 )
Evaluate : lim √ 1+x - ✓1-x / Sin-¹x
x→0
Solution : View On This Page.
Question 02 )
Evaluate ; lim cos-¹x / ✓1-x²
x→1-
Solution : View On This Page
Question 03 )
Evaluate ; lim tan-¹2x / Sin3x
x→0
Solution : View On This Page
Question 04 )
Evaluate ; lim Sin-¹( x+2 )/ x² ( x+2 )
x→-2
Solution : View On This Page
This Is complete Notes of Lecture 07 Of Chapter 01 Limits
Applied Mathematics 2 Notes :
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