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Question

Consider the function (1+x)(1x)x Find the limit as x0.

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Solution

Required limit is, =limx0(1+x)(1x)x
=limx0(1+x)(1x)x.(1+x)+(1x)(1+x)+(1x)
=limx0(1+x)(1x)x[(1+x)+(1x)]
=limx02(1+x)+(1x)=21+1=1.

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