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A. True or False. Write T if the statement is TRUE, otherwise write F. 1. The function f(x) = discontinuity. 2. Trigonometric functions are continuous everywhere. 3. Suppose f is continuous on a closed interval [a, b], and f(a) and f(b) have opposite signs, then there exists at most one number c which is an element of [a, b] for which f(c) = 0. 4. Suppose f is discontinuous at x = a. We say that x = a is a jump discontinuity if lim,a+ f(x) = L,and lim,a- f(x) = L2 and L1 + L2 5. A function fhas a removable discontinuity at x = a if lim,-a f(x) # f(a) only. is an example of a removable 4x-1

A. True or False. Write T if the statement is TRUE, otherwise write F. 1. The function f(x) = discontinuity. 2. Trigonometric functions are continuous everywhere. 3. Suppose f is continuous on a closed interval [a, b], and f(a) and f(b) have opposite signs, then there exists at most one number c which is an element of [a, b] for which f(c) = 0. 4. Suppose f is discontinuous at x = a. We say that x = a is a jump discontinuity if lim,a+ f(x) = L,and lim,a- f(x) = L2 and L1 + L2 5. A function fhas a removable discontinuity at x = a if lim,-a f(x) # f(a) only. is an example of a removable 4x-1

Calculus: Early Transcendentals
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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A. True or False. Write T if the statement is TRUE, otherwise write F. 3 1. The function f(x) discontinuity. 2. Trigonometric functions are continuous everywhere. 3. Suppose f is continuous on a closed interval [a, b], and f(a) and f(b) have opposite signs, then there exists at most one number c which is an element of [a, b] for which f(c) = 0. 4. Supposef is discontinuous at x = a. We say that x = a is a jump discontinuity if lim,-a+ f(x) = L,and lim,→a- f(x) = L2 and L1+ L2 5. A function fhas a removable discontinuity at x = a if lim,-a f (x) ± f(a) only. is an example of a removable 4х-1
Transcribed Image Text:A. True or False. Write T if the statement is TRUE, otherwise write F. 3 1. The function f(x) discontinuity. 2. Trigonometric functions are continuous everywhere. 3. Suppose f is continuous on a closed interval [a, b], and f(a) and f(b) have opposite signs, then there exists at most one number c which is an element of [a, b] for which f(c) = 0. 4. Supposef is discontinuous at x = a. We say that x = a is a jump discontinuity if lim,-a+ f(x) = L,and lim,→a- f(x) = L2 and L1+ L2 5. A function fhas a removable discontinuity at x = a if lim,-a f (x) ± f(a) only. is an example of a removable 4х-1
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