Page 206 - DMTH201_Basic Mathematics-1
P. 206
Unit 7: Limits
We denote it by writing Notes
or
Similarly, if f(x) approaches the limit l , as x approaches ‘a’ from right we say, that the right hand
2
limit of f(x) as x a is l .
2
We denote it by writing
or
Working Rules
Finding the right hand limit i.e., Finding the left hand limit, i.e.,
Put x = a+h Put x=a – h
Find Find
Limits of a function Y = f(x) at x = a
Example: Find where f(x) = x + 5x +3
2
Here =
=
= 1 + 5 + 3 = 9 ....(i)
and =
=
= 1 + 5 + 3 = 9 ....(ii)
From (i) and (ii), =
Example: Evaluate:
Here =
=
= (as h>0, so|h|= h)
= 1 ...(iii)
and =
LOVELY PROFESSIONAL UNIVERSITY 199
