Let f(x) =x² -25(a) Calculate f(x) for each value of x in the following table.4.94.99x²²-25XEx-55.15.01²-25f(x)=(a) Calculate f(x) for each value of x in the following table. (b) Make a conjecture about the value of limX-5x - 25X-5x-5f(x)=XX4.9995.0014.99995.0001X-5(Type an integer or decimal rounded to four decimal places as needed.)...

I am going to solve the problem by using some simple calculus to get the required result of the…

Answered: Let f(x)= x - 25 (a) Calculate f(x) for…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Let ƒ(x) = (x2 - 9)/(x + 3). a. Make a table of the values of ƒ at the points x = -3.1, -3.01, -3.001, and so on as far as your calculator can go. Then estimate limx--> -3 ƒ(x). What estimate do you arrive at if you evaluate ƒ at x = -2.9, -2.99, -2.999,...... instead? b. Support your conclusions in part (a) by graphing ƒ near c = -3 and using Zoom and Trace to estimate y-values on the graph as x -->-3.
2. Describe a strategy for solving limits of the form limx→∞f(x)g(x), where f(x) and g(x) are polynomials.
Let ƒ(x) = (x^2 - 9)/(x + 3). a. Make a table of the values of ƒ at the points x = -3.1, -3.01, -3.001, and so on as far as your calculator can go. Then estimate limxS -3 ƒ(x). What estimate do you arrive at if you evaluate ƒ at x = -2.9, -2.99, -2.999,c instead? b. Support your conclusions in part (a) by graphing ƒ near c = -3 and using Zoom and Trace to estimate y-values on the graph as xS -3. c. Find limxS -3 ƒ(x) algebraically.
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1. Is it possible that f(2) = 5 but limx→2f(x) = 7? If so, what kind of function can satisfy this?
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Let f(x)= x - 25 (a) Calculate f(x) for each value of x in the following table. (b) Make a conjecture about the value of lim X-5 x - 25 x-5 X-5 (a) Calculate f(x) for each value of x in the following table. 4.9 4.99 4.999 f(x)= f(x)= X x²-25 x-5 X x²-25 X-5 5.1 5.01 5.001 4.9999 5.0001 METS