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Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640

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BuyFindarrow_forward

Applied Calculus for the Manageria...

10th Edition
Soo T. Tan
ISBN: 9781285464640
Textbook Problem

In Exercises 17-22, sketch the graph of the function f and evaluate lim x a f ( x ) , if it exists, for the given value of a.

17. f ( x ) = { x 1 if  x 0 1 if  x > 0 (a = 0)

To determine
The graph of given function and the value of limxaf(x) for the indicated value of a.

Explanation

Given:

The given function is f(x)={x1,ifx01,ifx>0 and the value of a is 0.

Calculation:

To sketch the graph, find values of f(x) for different values of x.

For x0 , function is f(x)=x1 . The values of a function are summarized in the below table.

x f(x)=x1
0 1
1 2

For x>0 , function is f(x)=1 . The function is constant for values less than 0, so for any value of x less than 0, the value of function is 1

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