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WEEK ONE
DIFFERENTIATION 1
CONTENTS
(a) Limits of a Function
(b) Differentiation from First Principle
(c) Differentiation of Polynomials
SUB TOPIC: LIMITS OF A FUNCTION
A function is a value that describes how a value of the variable is maniplutated to generate a value of an equation Other symbols that can be used for functions includes Note that all functions are rules but not all rules are functions.
Example:
Let y where can take non – negative (real values). Now let use power of 10 for to find the value of When
From the above, you observe that, as becomes very large, the value of gets very close to 1.
Hence,
There are functions that their limit does not exist.
Example:
. The limit of this function does not exist, since division by zero is impossible.
CLASS ACTIVITY:
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