real analysis

[shreya]

Consider function h(x),f(x),g(x) and defined on the real line such that h(x)<=f(x)<=g(x) Supposed lim x→∞ h(x) =0 lim x→∞ g(x)= 0. What is lim x→∞ f(x) ?

[lovekesh]

I think it should be zero coz of sandwich theorem.