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Question

limx1x1x2+32


Solution

limx1x1x2+32

Rationalising the denominator

=limx1(x1)×(x2+3+2)(x2+32)(x2+3+2)

=limx1(x1)×(x2+3+2)(x2+34)

=limx1(x1)×(x2+3+2)(x21)

=limx1(x1)×(x2+3+2)(x1)(x+1)

=limx1x2+3+2x+1

1+3+21+1

=2+22

=42=2


Mathematics
RD Sharma
Standard XI

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