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Question

The value of limx1x2+3x+2x2+4x+3 is

A
0
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B
1
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C
2
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D
12
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Solution

The correct option is D 12
limx1x2+3x+2x2+4x+3

limx1x2+2x+x+2x2+3x+x+3

limx1x(x+2)+1(x+2)x(x+3)+1(x+3)
=limx1(x+2)(x+1)(x+3)(x+1)

=limx1x+2x+3

=1+21+3

=12

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