Question

What is $5$ divided infinity?

Answer 1

Evaluate the value of $5$ divided infinity

Formula: $\underset{\mathbf{x}\mathbf{\to }\mathbf{\infty }}{\mathbf{lim}}\left(\frac{c}{x^a}\right)\mathbf{=}\mathbf{0}$ , where $c$ is a constant

We can rewrite $\frac{5}{\infty }$ in the limit form as follows:

$\frac{5}{\infty }=\underset{x\to \infty }{\lim }\left(\frac{5}{x}\right)$

$\Rightarrow$ $\frac{5}{\infty }=0$ $\left[\because \underset{x\to \infty }{\lim }\left(\frac{c}{x^a}\right)=0\right]$

Hence, $5$ divided infinity is $0$.