Page 205 - DMTH201_Basic Mathematics-1
P. 205
Basic Mathematics – I
Notes Step 3: Put the value of x and get the required result.
Solution
=
=
=
=
=
[Q x 0, \ It can be cancelled]
=
=
=
=
Evaluate the following:
1. 2.
3. 4.
7.2.1 Limits of Left and Right Hand
You have already seen that x a means x takes values which are very close to ‘a’, i.e. either the
value is greater than ‘a’ or less than ‘a’.
In case x takes only those values which are less than ‘a’ and very close to ‘a’ then we say x is
–
approaches ‘a’ from the left and we write it as x a . Similarly, if x takes values which are greater
than ‘a’ and very close to ‘a’ then we say x is approaching ‘a’ from the right and we write it as x
a .
+
Thus, if a function f(x) approaches a limit l , as x approaches ‘a’ from left, we say that the left
1
hand limit of f(x) as x a is l .
1
198 LOVELY PROFESSIONAL UNIVERSITY
