Q.

If Limx0 x-3sin 3x+ax-2+b exists and is equal to zero, then the value of a+ 2b = 

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a

0

b

6

c

3

d

4

answer is D.

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Detailed Solution

Limx0 x-3sin 3x+ax-2+b =Limx0 sin 3x+ax+bx3x3 =Limx0 3x3x33!+3x55!3x77!++ax+bx3x3
a+3=0a=-3
b-92=0b=922b=9
a+2b=6

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