Help with SOLVING!!! {LIMIT x -> 0+} sqrt(x) * e^(sin(pi/x))

I know the Limit is zero I want to know how. Here's what I got:

{LIMIT x -> 0+} sqrt(x) * e^(sin(pi/x))({LIMIT x -> 0+} sqrt(0) * e^(sin(pi/0)) => {LIMIT x -> 0+} 0 * e^(sin(pi/x)) = INDETERMINATEI assume continuity so i plug n chug)

{LIMIT x -> 0+} sqrt(x) * e^((pi/x)*(sin(pi/x))/pi/x))({LIMIT x -> 0+} {LIMIT x -> pi/x+} (sin(pi/x))/pi/x) = 1)

{LIMIT x -> 0+} sqrt(x) * e^(pi/x)(I'mstuck here i plug in 0 for x and i get e^ (pi/0))