Question

solve: lim(x->1+) (x-1)^(1-x)

Answer 1

\[\lim_{x \rightarrow 1+}(x-1)^{(1-x)} = 1\]

Answer 2

the picture is an image of the graph of the equation

Answer 3

let a= x-1 , as x->1+then a->0
x=a+1
lim(x->1+) (x-1)^(1-x)= lim(a->0) (a)^(1-a-1) =1