number 3 is a little tougher than i thought it would be O Ma6 Sch6 YouE UntE EngE UntE Ho X xБ AnsNFL GarESCChaM InbcA RolG 2-SInbG Coln GraR GraO AtlaG forа Am+i ximera.osu.edu/math/calc1Book/calcBook/continuity/continuityE Appse 8 Puerto Rican Dish..arizona waterparksarkansas waterparksE Reading listXIMERAO Get Help* Math EditorA SaveErase-) Sign In -Example. (example 3) Sincelim In(x) = In(1) = 0,we can say that the function f(x) = In(x) is continuous at x = 1.Problem. (problem 3) Sincelim_tan(x)= tan(V3)= T/3,we can say that the function f(x)? is continuous at a =?If a function is continuous at each point in an interval, I, then we say that f(x) is continuous on I.A function f(x) is called continuous from the left at x = a iflim f(x) = f(a),and it is called continuous from the right at a = a iflim f(x) = f(a).Note that if f(x) is continuous at x = a then it is both continuous from the left and continuous from the right at x = a.If for some reason, a limit cannot be computed by plugging in, then we say that the function is discontinuous. In other words, iflim f(x) + f(a),

Answered: Image /qna-images/answer/61a8e237-cb69-4f0f-ae9c-036d3b87b685.jpg

Example. (example 3) Since lim In(z) = In(1) = 0, we can say that the funetion f(z) = In(z) is continuous at z = 1. Problem. (problem 3) Since lim tan (z) = tan¯(v3) = x/3, we can say that the function f(z) = is continuous at z = If a function is continuous at each point in an interval, I, then we say that f(z) is continuous on I. A function f(z) is called continuous from the left at z = a if lim f(z) = f(a), and it is called continuous from the right at z = a if lim f(z) = f(a). Note that if f(z) is continuous at z = a then it is both continuous from the left and continuous from the right at z = a. If for some reason, a limit cannot be computed by plugging in, then we say that the function is discontinuous. In other words, if lim f(z) + f(a),

Example. (example 3) Since lim In(z) = In(1) = 0, we can say that the funetion f(z) = In(z) is continuous at z = 1. Problem. (problem 3) Since lim tan (z) = tan¯(v3) = x/3, we can say that the function f(z) = is continuous at z = If a function is continuous at each point in an interval, I, then we say that f(z) is continuous on I. A function f(z) is called continuous from the left at z = a if lim f(z) = f(a), and it is called continuous from the right at z = a if lim f(z) = f(a). Note that if f(z) is continuous at z = a then it is both continuous from the left and continuous from the right at z = a. If for some reason, a limit cannot be computed by plugging in, then we say that the function is discontinuous. In other words, if lim f(z) + f(a),

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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