.
Because direct substitution produces the indeterminate form
.
To began proceed, assume that the limit exists and is equal to y.
\
Take natural log of each side.
\
Apply limit continuity
\
Write Indeterminate form
.

Write Indeterminate form
.

Apply L-Hospital Rule.
\
Write Indeterminate form
.

Apply L-Hospital Rule.
\



Now, because ln y = 0, conclude that
, and it follows that \ \
.