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4th Edition

James Stewart

Publisher: Cengage Learning

ISBN: 9781337687805

Chapter 3.3, Problem 50E

(a)

To determine

**To sketch:** The graph of

Expert Solution

**Definition used:**

If the left hand limit of

Use online graphing calculator to draw the graph of the function

The function

Use online graphing calculator to draw the graph of the function

From Figure 1, it is observed that the left hand limit of

Use definition stated above, it can be concluded that the function

Therefore, the function

(b)

To determine

**To calculate:** The left and right limits of

Expert Solution

The left limit of

**Given:**

The function is

**Result Used:**

The value of

**Calculation:**

The given can be expressed as follows,

The left limit of

Use Result stated above and obtain the left limit,

Therefore, the left limit is

The right limit of

Use Result stated above and obtain the left limit,

Therefore, the right limit is

Note that, the left limit of

That is,

Use definition stated above, it is conclude that the function

Therefore, the function