   Chapter 10.3, Problem 102E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

What is a closed-form function? What can we say about such functions?

To determine

The meaning of a closed-form function and a feature of closed-form functions.

Explanation

Given Information:

The given function is a closed-form function.

The definition of a closed-form function:

A closed-form function is obtained by joining constants, exponential functions, radicals, power of x, logarithms and trigonometric functions to form a single mathematical formula with the help of arithmetic operations and composition of functions.

The feature of closed form functions is that all the closed-form functions are continuous in their domain.

If x=a is lies in a closed function’s domain, then

limxaf(x)=f(a)

For example:

Consider the limit is limx16x3x9.

Here, x3x9 is a closed-form function and x=9 lie in its domain

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