How would you be able to determine the asymptotes for this particular problem? Please help me with this

f(x) = 1/[1+2^(1/x)]

if x is huge negative you have 1/[ 1+ 2^-tiny) = 1/[ 1 + 1/2^0]

but we all know 2^0 is 1 so it is 1 /[1+1] or 1/2
if x = 0you have 1/ 2^huge or zero
if x is huge positive you have 1/2 again