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Question

Find limx0[tan(π4+x)]1/x.

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Solution

limx0[tan(π4+x)]1x=elimx01x[tan(π4+x)1]=elimx01x[1+tanx1tanx1]=elimx01x[1+tanx1+tanx1tanx]=elimx01x[2tanx1tanx]=e2Hence,solved.

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