please help me verify! no need for a long explanation

Given that
There is a function that shows the relation between some terms and we have to find the correct option from the given options.
Explanation -
The function is as
[tex]\begin{gathered} d(h)=\frac{128}{8}+\frac{128}{h} \\ where\text{ h is the number of hours.} \end{gathered}[/tex]Now if we take into consideration that Henrietta makes her drinks extremely very fast or in a very small amount of time.
Then, the value of h will be somewhere around 0 - 1.
So, when hours approach zero.
[tex]\begin{gathered} If\text{ h=0} \\ d(h)=\frac{128}{8}+\frac{128}{0}=16+\infty=\infty \end{gathered}[/tex]Therefore option A is correct.
Final answer -
Hence the final answer is option A.