1. Consider the function f(x): (a) Complete the following tables. Enter at least 8 decimal places for your answer. cos x 1 cos x 1 lim 1-0 x -0.1 -0.01 -0.001 -0.0001 X f(x) = cos x 1 = x X lim x-0+ X (c) Put a check mark in front of the correct answer. (c-1) Is f(0) defined? Yes (b) Based on your tables above, make a guess for the following limits: cos x 1 cos x 1 X cos x 1 0.1 0.01 the limit lim 2-0- x No! It is a guess only, not a proof. 0.001 0.0001 No f(x) = (c-2) Does this matter for the limits of lim lim 1-0 x-0+ Yes. For this reason, none of the above limit exists. lim x-0 cos x 1 X cos x 1 1 X X lim x-0 cos x 1 ? X No. What happens at "a' is irrelevant to the limit as x approaches a. (c-3) Does the table of values constitute a full proof of the limit value of lim cos - 1 ? I-0- X Yes! Full points would be awarded on a test if I use the above table to evaluate cos x 1
1. Consider the function f(x): (a) Complete the following tables. Enter at least 8 decimal places for your answer. cos x 1 cos x 1 lim 1-0 x -0.1 -0.01 -0.001 -0.0001 X f(x) = cos x 1 = x X lim x-0+ X (c) Put a check mark in front of the correct answer. (c-1) Is f(0) defined? Yes (b) Based on your tables above, make a guess for the following limits: cos x 1 cos x 1 X cos x 1 0.1 0.01 the limit lim 2-0- x No! It is a guess only, not a proof. 0.001 0.0001 No f(x) = (c-2) Does this matter for the limits of lim lim 1-0 x-0+ Yes. For this reason, none of the above limit exists. lim x-0 cos x 1 X cos x 1 1 X X lim x-0 cos x 1 ? X No. What happens at "a' is irrelevant to the limit as x approaches a. (c-3) Does the table of values constitute a full proof of the limit value of lim cos - 1 ? I-0- X Yes! Full points would be awarded on a test if I use the above table to evaluate cos x 1
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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Can you please do question 1 letter b, c
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