Chapter 11, Problem 40CR

(a)

To determine

To approximate : The limit by graphing utility.

Answer to Problem 40CR

The approximation of limit by graphing utility is shown in Figure (1) and its value is $\frac{-1}{2}$ .

Explanation of Solution

Consider the given limit.

  $\underset{\mathrm{x}\to 1^{+}}{\lim }\frac{1-\sqrt{\mathrm{x}}}{\mathrm{x}-1}$

The graph of the above limit is shown below.

  

Figure (1)

From the above figure approximate value of the limit $\frac{-1}{2}$ .

(b)

To determine

To approximate : The limit by tabulating the value in the graphing utility.

Answer to Problem 40CR

The approximation of limit by tabulating the value in the graphing utility is shown in Figure (2) and its value is $\frac{-1}{2}$

Explanation of Solution

Consider the given limit.

  $\underset{\mathrm{x}\to 1^{+}}{\lim }\frac{1-\sqrt{\mathrm{x}}}{\mathrm{x}-1}$

The graph of the above limit is shown below.

  

Figure (2)

From the above figure approximate value of the limit $\frac{-1}{2}$ .