NDA Math Limit, Continuity and Differentiability

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Question : 54 of 105
 
Marks: +1, -0
Consider the following statements :
1. ‌If‌
lim
x→a
f
(x)
‌and
‌
lim
x→a
g
(x)
‌both exist
‌

then
lim
x→a
{f(x)g(x)}
‌exists.
‌

2. If
lim
x→a
{f(x)g(x)}
exists, then both
lim
x→a
f
(x)
‌and
‌
lim
x→a
g
(x)
must exist
which of the above statements is /are correct?
[NDA I 2017]
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