Chapter 9, Problem 36RE

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Chapter
Section

### Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

# In Problems 35 and 36, use the graphs to find (a) the points of discontinuity, (b) lim x → ∞ f ( x ) , and (c) lim x → − ∞ f ( x ) .

(a)

To determine

The points of continuity for the function with the graph,

Explanation

Given Information:

The provided graph of the function is,

Explanation:

Consider the provided graph of the function,

For a function to be continuous at x=a the left hand limit must be equal to the right hand limit and the value of the function at x=a must be equal to the limits.

From the graph, the value of the function does not exist at x=0, as the point is indicated with a hollow circle. Also, the value of the function approaching from the left is 0 and the right is approaching 0 that are equal, but the value of the function does not exist at x=0

(b)

To determine

The value of limxf(x) from the graph of the function,

(c)

To determine

The value of limxf(x) from the graph of the function,

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