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Question

If f(2)=4 and f(2)=1, then limx2xf(2)2f(x)x2 equal to

A
2
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B
2
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C
1
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D
3
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Solution

The correct option is A 2
The value of limx2xf(2)2f(x)x2
=limx2xf(2)2f(2)+2f(2)2f(x)x2
=limx2(x2)f(2)x22limx2f(x)f(2)x2
=f(2)2f(2)=42×1=2

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