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Question

f(x)=27x9x3x+121+cosx is continuous at x = 0 and f(0)= k2(log 3)2 then k =


A

2

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B

4

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C

8

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D

1

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Solution

The correct option is C

8


limx10(9x1)(3x1)(1cosx)(2+1+cosx)

= 4(log3)(log3).22

= 8(log3)2


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