Question

The number of asymptotes of the curve $y=5^x$ is equal to

Answer 1

$x\to \infty \Rightarrow 5^x\to \infty$
$x\to -\infty \Rightarrow 5^x\to 0$
$\therefore y=0$ is a horizontal asymptote
$\because 5^x$ is defined $\forall x\in R,$ it has no vertical asymptote
For oblique asymptote,
$m=\underset{x\to \infty }{lim}\frac{5^x}{x}=\infty$ (using L'Hospital rule)
Hence no oblique asymptote.