Page 231 - DMTH201_Basic Mathematics-1

Basic Mathematics – I

Notes
Example: Consider the function

f(x) =

The details are left to the reader to see
=

and
=

So we have
= 10.

Since f(2) = 5, then f(x) is not continuous at 2.

Example: Find A which makes the function

f(x) =

continuous at x=1.
Solution:

We have
=

and
=

So f(x) is continuous at 1 if
A – 4 = –1 or equivalently if A = 3.

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