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Question

If f(9)=0,f(9)=4, then limx9f(x)3x3 =

A
9
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B
4
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C
36
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D
None of these
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Solution

The correct option is B 4
If f(9)=9 then solution will be ,

limx9f(x)3x3=limx9(f(x)3x3)(f(x)+3f(x)+3)(x+3x+3)

limx9f(x)3x3=limx9(x+3f(x)+3)limx9(f(x)3x3)(f(x)+3x+3)

limx9f(x)3x3=limx9(x+3f(x)+3)limx9(f(x)9x9)

limx9f(x)3x3=limx9(x+3f(x)+3)limx9(f(x)f(9)x9)

limx9f(x)3x3=66limx9(f(x)f(9)x9)

limx9f(x)3x3=66limx9(f(9))

limx9f(x)3x3=1×4

limx9f(x)3x3=4




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