Proving a limit is false

Planck's constant has a numerical value of 6.62607004×10^−34 and is denoted by ℏ. Let 𝑓 be the function defined by

𝑓(𝑥)={0 if 𝑥<0

𝑓(𝑥)={ℏ if 𝑥≥0

 

Prove that lim𝑥→0𝑓(𝑥)=0 is false; in other words, the epsolon delta definition is not satisfied.