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Question

The value of limx(x22x+2x24x+1)2 is

A
e2
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B
e2
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C
1
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D
0
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Solution

The correct option is B 1
limx(x22x+2x24x+1)2

=limx⎜ ⎜ ⎜ ⎜x2(12x+2x2)x2(14x+1x2)⎟ ⎟ ⎟ ⎟2

=limx⎜ ⎜ ⎜12x+2x214x+1x2⎟ ⎟ ⎟2

=(10+010+0)2=11=1


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