Question 1: Are the following functions continuous, or discontinuous at 0? To answer this question you must compute the limits on the left and on the right, and show that they are equal to one another and equal to f(0). • f(x) = f(0) = 0 • f(x)=sin(), f(0) = 0 f(x)= x ln(x), f(0) = 0 Question 2: Are the limits of these functions defined as a too? (please take this opportunity to review limits at infinity). Note that you need to determine the limits at +∞ and at -∞o. You need to sin(x)'
Question 1: Are the following functions continuous, or discontinuous at 0? To answer this question you must compute the limits on the left and on the right, and show that they are equal to one another and equal to f(0). • f(x) = f(0) = 0 • f(x)=sin(), f(0) = 0 f(x)= x ln(x), f(0) = 0 Question 2: Are the limits of these functions defined as a too? (please take this opportunity to review limits at infinity). Note that you need to determine the limits at +∞ and at -∞o. You need to sin(x)'
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 25E
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