   Chapter 9.2, Problem 36E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 35 and 36, complete (a)-(c). Use analytic methods to find (a) any points of discontinuity and (b) limits as x → ∞ and x → ∞ . (c) Then explain why, for these functions, a graphing calculator is better as a support tool for the analytic methods than as the primary tool for investigation. f ( x ) = 3000 x 4350 − 2 x

(a)

To determine

The points of discontinuity for the function, f(x)=3000x43502x.

Explanation

Given Information:

The provided function is f(x)=3000x43502x.

Explanation:

Consider the provided function,

f(x)=3000x43502x

The points of discontinuity are the points where the function’s value is not defined. Since, the function is a rational function, thus, the function is not defined at the point where the denominator is equal to zero

(b)

To determine

To calculate: The value of the limits of the function, f(x)=3000x43502x, at x and x.

(c)

To determine

Why the calculation of limit for the function, f(x)=3000x43502x, is better when done by graphing calculator for analytical calculation than any other tool.

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