Applied Mathematics - ll : Limits | Chapter 01 | Lecture 04 Notes for Polytechnic
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Question Based On Factorisation Method
Question 02,03 & 04 ;-
Applied Mathematics - ll : Limits | Chapter 01 | Lecture 04 Notes For Polytechnic.
Hey Everyone, I will show You Algebra Of Limits , Addition, Difference, Product & Quotient Of the limits Of the Functions & also Evaluation Of algebraic Limits.
Limits Lecture 04 ( Topic )
1) Algebra Of Limits .
- Addition
- Subtraction
- Product
- Quotient
2 ) Evaluation Of Algebraic Limits.
We Use different ways to evaluate the algebraic Limits they are,
- Direct Substitution Method
- Factorisation Method
- Rationalisation Method
- Some Standard Method
- Algebraic Limits at Infinity
3 ) Question Based on Direct Substitution & Factorisation method.
Algebra Of Limits
1 ) Limits Of Sum if two function is sum of the limits of the functions.
Lim { f(x) + g(x) } = lim f(x) + lim g(x)
X→a X→a. X→a
2 ) Limit of difference of two function is difference of the limits of the functions.
Lim { f(x) - g(x) } = lim f(x) - lim g(x)
X→a X→a X→a
3 ) Limits Of product of two function is the product if the limits of the functions.
Lim { f(x).g(x) } = lim f(x).lim g(x)
X→a X→a X→a
4 ) Limit Of Quotient Of two functions is Quotient of the limits of the functions.
Lim { f(x)/g(x) } = lim f(x)/lim g(x)
X→a X→a X→a
Where, Denominator is non zero .
Evaluate of Algebraic Limits .
We Use different ways to evaluate the algebraic Limits they are,
- Direct Substitution Method
- Factorisation Method
- Rationalisation Method
- Some Standard Method
- Algebraic Limits at Infinity
Question Based On Direct Substitution Method
- We Substitute the value of limit directly in place if x .
Consider,
lim f(x) = f(a) Exist
X→a
Some Questions,
Question 01:-
Limits Lecture 04 { Notes } ;-
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