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Question
Evaluate : `Lim_(x→0) (x)^(1/(1-x))`
Solution
Let ` L= Lim_(x→0) (x)^(1/(1-x)`
Take log on both the sides,
∴ `Log L = Lim_(x→0) log x/(1-x)`
Apply L’Hospital rule ,
∴ `log L = Lim_(x→0)1/x`
=0
∴ `L=e^0=1`
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Review of Complex Numbers‐Algebra of Complex Number
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