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Question

Find the value of limx02+x2xx.

A
122
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B
2
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C
12
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D
12
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Solution

The correct option is C 12
limx02+x2xx
Rationalizing the numerator.
=limx02+x2xx×2+x+2x2+x+2x
=limx0(2+x)(2x)x(2+x+2x)
=limx02xx(2+x+2x)
=limx022+x+2x
=22+0+20
=22+2
=222
=12.

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