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11th Edition

Ron Larson + 1 other

Publisher: Cengage Learning

ISBN: 9781337275361

Chapter 1.3, Problem 98E

Textbook Problem

**Writing Functions** Write a function of each specified type that has a limit of 4 as *x* approaches 8.

(a) linear(c) rational | (b) polynomial of degree 2(d) radical |

(e) cosine | (f) sine |

Expert Solution

**(a)**

To determine

A linear function that has a limit of 4 as

Since the required function should be linear, the power of

be

Now, consider the function,

This function is a linear function as the power of

Now, find the limit of function

Expert Solution

**(b)**

To determine

A polynomial of degree 2 that has a limit of 4 as

Expert Solution

**(c)**

To determine

A rational function that has a limit of 4 as

Expert Solution

**(d)**

To determine

A radical function that has a limit of 4 as

Expert Solution

**(e)**

To determine

A cosine function that has a limit of 4 as

Expert Solution

**(f)**

To determine

A sine function that has a limit of 4 as

Expert Solution

**(g)**

To determine

An exponential function that has a limit of 4 as

Expert Solution

**(h)**

To determine

A natural logarithm function that has a limit of 4 as

Calculus of a Single Variable

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True or False? 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