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Q.

If f(x)=cos x-3 sinxcos 3x, xπ6 is continuous on 0, π2, then fπ6= 

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a

23

b

13 

c

12

d

32

answer is C.

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Detailed Solution

fπ6=limxπ6fx=limxπ6-sin x-3 cos x-3 sin 3x=-12-332-31 =23

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If f(x)=cos x-3 sinxcos 3x, x≠π6 is continuous on 0, π2, then fπ6=