Chapter 12, Problem 39RE

(a)

To determine

To approximate: the limit by using a graphing utility to graph the function..

Explanation of Solution

Given information:

Given following limit

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

Calculation:

Let $f\left(x\right)=e^{\frac{-2}{x}}$ and plot the function $f\left(x\right)$ .

To calculate the model using the T1-83 graphing calculator follow the steps:

Press $Y=$ and enter the equation

  

Press ZOOM then 0; Zoom fit

  

Then plot window id like this.

  

Limit does not exist.

(b)

To determine

To approximate: the limit by using the table feature of the graphing utility to create a table.

Answer to Problem 39RE

Limit does not exist.

Explanation of Solution

Calculation:

Numerically approximate the limit using $f\left(x\right)=e^{\frac{-2}{x}}$ and tabulate it using the T1-83 graphing calculator, with following steps:

Press Y= and enter the equation

  

Give the starting point and increment value, we get the table like this:

  

Limit does not exist.