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Question

If f(x) = {sinxxnπ,n=0,±1,±2...2,otherwise and g(x) = x2+1,x0,24,x=05,x=2, then limx0g{f(x)} is

A
2
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B
0
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C
3
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D
1
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Solution

The correct option is D 1
Given that,
f(x) = {sinxxnπ,n=0,±1,±2...2,otherwise
and
g(x) = x2+1,x0,24,x=05,x=2
Then limx0g[f(x)]=limx9g(sinx)
=limx0(sin2x+1)=1

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