# Evaluate : Lim X → 0 ( X ) 1 1 − X - Applied Mathematics 1

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

Concept: Review of Complex Numbers‐Algebra of Complex Number
Is there an error in this question or solution?