Question[3 marks] (b) Consider a function $f(x)=\frac{1}{2-\sqrt{x}}$. Find $\lim _{x \rightarrow \infty} f(x)$ and state the equation of horizontal asymptotes for $f(x)$. [3 marks]

Studdy Solution
State the equation of the horizontal asymptote based on the limit:
Since $\lim_{x \rightarrow \infty} f(x) = 0$, the horizontal asymptote is $y = 0$.
The limit of $f(x)$ as $x \rightarrow \infty$ is $0$, and the equation of the horizontal asymptote is:
$$y = 0$$