Use Theorems 14 to show that the function is continuous. (x) = x + sin x THEOREM
Question:
Use Theorems 1–4 to show that the function is continuous.
ƒ(x) = x + sin x
Transcribed Image Text:
THEOREM 1 Basic Laws of Continuity If f and g are continuous at x = c, then the following functions are also continuous at x = C: (i) f + g and f-g (iii) fg (ii) kf for any constant k (iv) f/g if g(c) #0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
The polynomial function x is continuous by Theorem 2 and the ...View the full answer
Answered By
CHARLES AMBILA
I am an experienced tutor with more than 7 years of experience. I have helped thousands of students pursue their academic goals. My primary objective as a tutor is to ensure that students have easy time handling their academic tasks.
5.00+
109+ Reviews
323+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Use the Laws of Continuity and Theorems 2 and 3 to show that the function is continuous. 7. f(x) = x + sin x 9. f(x) = 3x + sin x 11. f(x) = 1 / x2 + 1
-
Use Theorems 14 to show that the function is continuous. THEOREM 1 Basic Laws of Continuity If f and g are continuous at x = c, then the following functions are also continuous at x = C: (i) f + g...
-
Use Theorems 14 to show that the function is continuous. THEOREM 1 Basic Laws of Continuity If f and g are continuous at x = c, then the following functions are also continuous at x = C: (i) f + g...
-
Write a short report in which you assess the impact of one piece of health and safety legislation in an organisation of your choice.
-
1. Many students of the Second City Training Center are businesspeople looking to gain skills for the corporate context. What skills from the world of improvisational comedy would be valuable to a...
-
Lucas Hunter, president of Simmons Industries Inc., believes that reporting operating cash flow per share on the income statement would be a useful addition to the company's just completed financial...
-
The following balance sheet and income statement data were taken from the financial records of The Dana Point Company: Required 1. Calculate the following ratios for The Dana Point Company for 2015...
-
Italian Stallion has the following transactions during the year related to stockholders equity. February 1 Issues 6,000 shares of no-par common stock for $16 per share. May 15 Issues 700 shares of...
-
John Howard reportedly was paid $440,000 to write his book Lazarus Rising. The book took three years to write. In the time he spent writing, Howard could have been paid to m speeches. Given his...
-
Evaluate the limit assuming that lim f(x) = 3 and lim g(x) = 1. X-4 x-4
-
Evaluate the limit using the Basic Limit Laws and the limits lim(4t + 8t5)3/2
-
Mariner Corp. reported the following revenues and net income amounts: Requirements 1. Calculate Mariners trend analysis for revenues and net income. Use 2013 as the base year, and round to the...
-
1. The difference in salary between a college graduate and someone with just a high school diploma over a 40-year career would be $64,137 - $36,318 = $27,819 per year. Over 40 years, this would...
-
Listed below are four potential errors or problems that could occur in the processing of cash transactions. Review each error or problem and using the drop - down answer box located beneath each one,...
-
Let f(x) = -2x - 12x + 3.
-
At the end of January of the current year, the records of Donner Company showed the following for a particular item that sold at $16 per unit: Transactions Units Amount Inventory, January 1 Purchase,...
-
Divide. (18x3 +15x+10x+14)+(3x+1) Write your answer in the following form: Quotient+ Remainder 2 3x +1
-
A friend of yours owns a carpet and installation business, which is a full-time job. To increase his income, hes thinking about buying a 1-800-Water-Damage franchise, which is a franchise that helps...
-
Write an SQL statement to display all data on products having a QuantityOnHand greater than 0.
-
Show that Tn and f have the same derivatives at up to order n.
-
In Section 4.9 we considered Newtons method for approximating a root r of the equation f(x) = 0, and from an initial approximation x1 we obtained successive approximations x2, x3, . . . , where xn+1...
-
Suppose an = 3 and sn is the nth partial sum of the series. What is lim n an? What is lim n sn?
-
The Bimbo Corporation has been experiencing a decline in sales relative to its major competitors. Because Bimbo is confident about the quality of its products, it suspects that this sales loss may...
-
If you purchase a house for $ 2 3 8 , 0 0 0 and your mortgage is 3 0 years at an interest rate of 3 . 9 % compounded monthly, what will the monthly payments be for the loan? Format answer rounded to...
-
A project has an initial cost of $ 6 5 , 0 0 0 , expected net cash inflows of $ 1 4 , 0 0 0 per year for 1 1 years, and a cost of capital of 1 3 % . What is the project's PI ? ( Hint: Begin by...
Study smarter with the SolutionInn App