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Question

If f′′(0)=k,k0, then the value of 
limx02f(x)3f(2x)+f(4x)x2is


A
k
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B
2k
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C
3k
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D
4k
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Solution

The correct option is C 3k
limx02f(x)3f(2x)+f(4x)x2 
As its is 00 form so,we can use L'Hospital Rule twice
limx02f′′(x)12f′′(2x)+16f′′(4x)2=6k2=3k
 

Mathematics

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