Module 2
: Limits and Continuity of Functions
Lecture
5
:
Continuity [ Section 5.1 : Extending the Limit concept ]
Similarly,
or
as
or
can be defined.
5.1 .4
Examples :
(i)
(ii)
Practice Exercises : Extension of the limit concept
1)
Let
.
Show that
.
2)
Let
If
, what can you say about
3)
Interpret geometrically the following :
(i)
.
(ii)
.
(iii)
.
(4)
Let
Compute
.
1
2
3
4
5
6
7
8
9
10
11
12
or
as 
or 
can be defined. 
.
. 
, what can you say about 
.
.
. 
. 
