Chapter 11.2, Problem 37E

To determine

To create: a table for the given function and find the limit.

Answer to Problem 37E

The limit of this function is approximately equal to $2.000$ .

  

Explanation of Solution

Given:

  $\underset{x\to 0}{\lim }\frac{e^{2x}-1}{x}$

Explanations:

In order to get an approximation that is accurate to three decimal places, graph the function in a very small viewing window around $x=0$ , like $x\min =-0.001$ , $x\max =0.001$ . Find that the limit of this function is approximately equal to $2.000$ .

  

Conclusion:

Therefore, the limit of this function is approximately equal to $2.000$ .