These are true or false questions and I need an explain of why given situations are true or false. 1. The sequence (n^n/n!)_{n e N} is increasing without an upper bound.2. If |a|<|b|, then a < b.3. If y = f(x) is a polvnomial, then the limits lim_{x -> -} 1/f(x) and lim_{x -> o} 1/f(x) both exist.4. If lim_{x -> a} f(x) = 00 and y = g(x) is defined and bounded below on an interval containing a, then lim_{x -> a} f(x) + g(x) = 0.5. If 0Sas1/e, then the equation xe^{-x} has a nonnegative solution.6. Suppose that a function y = f(x) is continuous on I = [a,b] and if the set f(l) = [f(a).f(b)], then y = f(x) is strictly increasing.7. For all functions y = f(x) defined on [0,1], the set f([0,1]) is a bounded set.8. All functions that are continuous on (0,1] are bounded.9. If y = f(x) is an increasing function on the interval (a,b), and the set {f(x): a < x < b} is also an interval, then y = f(x) is continuous on (a,b).10. If f: R -> {0,1} and I is an interval on which f has both values, then f has a discontinuity in I.11. If the limit of a function at x = c is 5, then f(c) = 5.12. The function y=f(x) is defined as follows: f(x) = 3+[sin(x-2)/(x-2)] if x # 2 and f(2) = 4. Then y = f(x) is continuous at all real numbers x.

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Description: These are true or false questions and I need an explain of why given situations are true or false. 1. The sequence (n^n/n!)_{n e N} is increasing without an upper bound.2. If |a|<|b|, then a < b.3. If y = f(x) is a polvnomial, then the limits lim_{x

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1. The sequence (n^n/n!)_{n e N} is increasing without an upper bound. 2. If |a|<|b|, then a < b. 3. If y = f(x) is a polvnomial, then the limits lim_{x -> -0} 1/f(x) and lim_{x -> ©} 1/f(x) both exist.

1. The sequence (n^n/n!)_{n e N} is increasing without an upper bound. 2. If |a|<|b|, then a < b. 3. If y = f(x) is a polvnomial, then the limits lim_{x -> -0} 1/f(x) and lim_{x -> ©} 1/f(x) both exist.

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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