Question

What is the limit as $\mathrm{x}$ approaches infinity of ${\mathrm{e}}^{\mathrm{x}}$ ?

Answer 1

Determine the value of limit as $\mathrm{x}$ approaches infinity of ${\mathrm{e}}^{\mathrm{x}}$

The given function is ${\mathrm{e}}^{\mathrm{x}}$

Limit us calculated as follow:

$$\begin{gathered} \underset{\mathrm{x}\to \infty }{\lim }{\mathrm{e}}^x=e^{\infty } \\ \Rightarrow \underset{\mathrm{x}\to \infty }{\lim }{\mathrm{e}}^x=\infty \end{gathered}$$

Therefore, as $x$ approaches infinity, the value of the limit is $\underset{\mathrm{x}\to \infty }{\lim }{\mathrm{e}}^{\mathrm{x}}=\infty$