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Q.

If  f:RR is defined by  f(x)=1+3x2-cos 2xx2 for x0k for x=0 is continuous at x=0 then k = 

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a

1

b

0

c

6

d

5

answer is B.

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Detailed Solution

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 f(x) is continuous x=0f(0)=limx0f(x) k=limx01+3x2-cos 2xx2k=limx06x+2sin 2x2x=3+2=5

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