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Question

If limx3 x3+cx2+5x+12x27x+12=l(finite real number), then

A
l=4
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B
C=6
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C
C=4
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D
C ϵ R
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Solution

The correct options are
B C=6
D l=4
At x=3
=27+9c+15+12921+12

27+9c+27=0

9c=54

c=6
By L Hospital's Rule,

=limx33x2+2cx+52x7

At x=327+6c+51=(6c+44)=l

l=(3236)=4

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