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Question

limx02x2+xx


Solution

limx02x2+xx [It is of (00) form]

Rationalising the numerator

=limx0(2x+2+x)×(2x2+x)x(2x+2+x)

=limx0(2x)(2+x)x(2x+2+x)

=limx02xx(2x+2+x)

=22+2

=222=12

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