e. lim f(x) exists at every point c in (1, 3).f. f(1) = 0yy= f(x)g. f(1) = -21h. f(2) = 0i. f(2) = 1→ X-11-1-2 4. Which of the following statements about the function y = f(x)graphed here are true, and which are false?a. lim f(x) does not exist.x→2b. lim f(x) = 2x→2c. lim f(x) does not exist.x→1d. lim f(x) exists at every point c in (-1, 1).

Answered: Image /qna-images/answer/05516fe0-0412-47ef-92b7-2c22e5e8874b.jpg

Answered: 4. Which of the following statements…

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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15) Annual U.S. imports from a certain country in the years 1996 through 2005 could be approximated by I(t) = t2 + 3.5t + 48 (1 ≤ t ≤ 9) billion dollars, where t represents time in years since 1995. Annual U.S. exports to the country in the same years could be approximated by E(t) = 0.5t2 − 1.4t + 13 (0 ≤ t ≤ 10) billion dollars. Assuming that the trends shown in the above models continue indefinitely, calculate the limits lim t→+∞ I(t) and lim t→+∞ I(t)/E(t) algebraically. (If an answer does not exist, enter DNE.) lim t→+∞ I(t) = lim t→+∞ I(t) E(t) = Interpret your answers. In the long term, U.S. imports from the other country will (select) (be rounded or rise without bound) and be times U.S. exports to the other country. Could the given models be extrapolated far into the future? Yes or No
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4. Which of the following statements about the function y = f(x) graphed here are true, and which are false? a. lim f(x) does not exist. x→2 b. lim f(x) = 2 x→2 с. c. lim f(x) does not exist. x→1 d. lim f(x) exists at every point c in (-1, 1).