Module 2
: Limits and Continuity of Functions
Lecture
5
:
Continuity
5.2 .3
Theorem:
Let
. Let
be functions,both continuous at
.
Then the following holds:
(i)
are continuous at
.
(ii)If
is defined in a neighbourhood of
and is continuous at
.
Proof:
Follows from theorem 3.1.3
Back
1
2
3
4
5
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7
8
9
10
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12
. Let 
be functions,both continuous at 
. 
are continuous at 
is defined in a neighbourhood of 
and is continuous at 
