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Question

limx(5x2+x+3x2+x+3)1x
(2002)


A

e4

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B

e2

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C

e3

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D
e1
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Solution

The correct option is A

e4


limx{5x2+x+3x2+x+3}=limx{5+1/x+3/x21+1/x+3/x2}x

=[1Form]

Hence, limit =elimx{5x2+x+3x2+x+31}x

=elimx{4x2x2+x+3}
[Using L’ Hospital Rule]
=elimx{8x2x+1}
=elimx{82}
=e4


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