Q.
The value of 78.6elimx→01+x1xe1x is
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answer is 78.6.
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Detailed Solution
Let P=limx→0 (1+x)1/xe1/x=elimx→01+x1xe-11x=e1elimx→0 (1+x)1/x−ex =e1e(−e/2)=e−1/2=1e since limx→0 (1+x)1/x−ex=limx→0e1-x2+1124x2..-ex =-e2 ∴78.6elimx→0 (1+x)1/xe1/x=78.6e⋅1e=78.6
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