It looks like the given limit is

Note that the two-sided limit doesn't exist, since
is defined only for for
. So I'll further assume you want the one-sided limit as
approaches 0 from above.

For
just above zero, we have

so we can rewrite the limit as

Substitute
. As
, so does
, and
the limit transforms to

is continuous at
, and
, so we're left with
