Use Theorems 14 to show that the function is continuous. THEOREM 1 Basic Laws of Continuity If
Question:
Use Theorems 1–4 to show that the function is continuous.
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% (3 reviews)
The function is a rational function whose denominator 1 2x is never equal to 0 so this ...View the full answer
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Use Theorems 14 to show that the function is continuous. f (x) = 3x + 4 sin x THEOREM 1 Basic Laws of Continuity If f and g are continuous at x = c, then the following functions are also continuous...
-
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...
-
Which of the following questions involve microeconomics, and which involve macroeconomics? In each case, explain your answer. a. Why did consumers switch to smaller cars in 2008? b. Why did overall...
-
What do you think is your strongest component of cultural intelligence? Your weakest? How would you go about shoring up your weaknesses?
-
The Blue Plate Special restaurant, famous for its slow-cooked stews and meats, serves one meal a day family style. Sous Chef Lisle marinates the meat, fish, and vegetables for the five different...
-
Uniform flow in a sluggish channel having a nearly rectangular cross section that is \(498 \mathrm{ft}\) wide and \(16.5 \mathrm{ft}\) deep carries a flow of \(8,250 \mathrm{ft}^{3} / \mathrm{s}\)....
-
As the executive of a bank or thrift institution you are faced with an intense seasonal demand for loans. Assuming that your loanable funds are inadequate to take care of the demand, how might your...
-
The breakdown of the $3,300,000 cost follows: Salaries: Sales manager Salespersons Travel and entertainment Advertising Total $ 137,500 825,000 550,000 1,787,500 $ 3,300,000 "Super, replied Karl....
-
Determine the points of discontinuity. State the type of discontinuity (removable, jump, infinite, or none of these) and whether the function is left- or right-continuous. f(x)= = X
-
Use Theorems 14 to show that the function is continuous. (x) = 3x 3 + 8x 2 20x THEOREM 1 Basic Laws of Continuity If f and g are continuous at x = c, then the following functions are also continuous...
-
Show that the atomic packing factor for BCC is 0.68.
-
How would Coca-Cola use business intelligence to monitor Pepsi Colas operations in Argentina? What sources of data need to be gathered? How would they be analyzed?
-
Which of the following is a question that companies should answer when preparing the business case for an IT investment? a. How much will it cost? b. What are the risks? c. What are the alternatives?...
-
Which of the following does not describe a step in the Balanced Scorecard management process? a. Formulate the strategy b. Translate the strategy into strategic objectives c. Link objectives to...
-
Which of the following is not a type of business process in the Balanced Scorecard framework? a. Operations management b. Customer management c. Innovation d. Regulatory and social e. All of these...
-
What is one reason a Balanced Scorecard might be considered balanced? a. It includes four perspectives. b. It includes both leading and lagging performance indicators. c. It includes a large base. d....
-
Microsoft is weighing setting up a new R&D facility in India to develop new software applications. Should it staff it with Microsoft employees? Indian employees? Or should it subcontract with an...
-
In the busy port of Chennai, India, the number of containers loaded onto ships during a 15-week period is as follows: 1. Develop a linear trend equation to forecast container loadings. 2. Using the...
-
The meaning of the decimal representation of a number 0.d1d2d3 . . . (where the digit di is one of the numbers 0, 1, 2 . . . 9) is that Show that this series always converges. dz d, 10 104 da...
-
Suppose an and bn are series with positive terms and bn is known to be convergent. (a) If an > bn for all n, what can you say about an? Why? (b) If an < bn for all n, what can you say about an? Why?
-
Suppose an and bn are series with positive terms and bn is known to be convergent. (a) If an > bn for all n, what can you say about an? Why? (b) If an < bn for all n, what can you say about an? Why?
-
December 3 1 mountain and meadow adjusts the accounts only at december 3 1 , the end if the fiscal year Prepare the adjusting journal entry to record the rebt expense at decemeber 3 1.
-
Policymakers have been interested in the effect of minimum wage on the employment rate. Propose two methods to causally estimate the impact of minimum wage on the employment rate. Carefully explain...
-
On December 31, 2023, Dow Steel Corporation had 600,000 shares of common stock and 300,000 shares of 8%, noncumulative, nonconvertible preferred stock issued and outstanding. Dow issued a 4% common...
Study smarter with the SolutionInn App