LIMITATIONS

Special Note

a²-b² = (a-b) (a+b)
a³-b³ = (a-b) (a²+ab+b²) a³+b³= (a+b) (a²-ab +b²) (a+b)² = (a+b) (a+b)
= a² + 2ab + b²
(a+b)³ = (a+b) (a+b)²

Examples:-

Limits

Definition for limits of function

If a function f(x) constant ‘L’ by taking ‘x’ sufficiently close to but different from number ‘a’ from both left and right side of a function.

Examples:-

Limits Theorems

The limit of a constant times a function equals the constant times of the function.

The limit of a quotient does not exit if the denominator is zero while numerator is not zero

Examples:-

Example:-

Limits of infinity

Limits of infinity are used to describe the behavior of function as the independent variable increases or decreases without bound.

Note

Four properties for limit of infinity “p”

STC 212 Tutorial-01(E).pdf

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