Chapter 9.2, Problem 35E

### 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, 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 ) = 1000 x − 1000 x + 1000

(a)

To determine

To calculate: The points of discontinuity for the function, f(x)=1000x1000x+1000.

Explanation

Given Information:

The provided function is f(x)=1000xâˆ’1000x+1000.

Formula used:

To find the discontinuity of any function f(x)=p(x)q(x)

Where, p(x) is numerator and q(x) is denominator

Set denominator as 0 and solve it for variable, which is the point of discontituity

(b)

To determine

To calculate: The value of the limits of the function, f(x)=1000x1000x+1000, at x and x.

(c)

To determine

Why the calculation of limit for the function, f(x)=1000x1000x+1000, is better when done by graphing calculator for analytical calculation than any other tool.

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