Let (a) Show that f is continuous at 0. (b) Investigate graphically whether f is differentiable at
Question:
(a) Show that f is continuous at 0.
(b) Investigate graphically whether f is differentiable at by zooming in several times toward the point (0, 1) on the graph of f.
(c) Show that f is not differentiable at 0. How can you reconcile this fact with the appearance of the graphs in part (b)?
Transcribed Image Text:
S1*F if x0 f(x). if x= 0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 41% (12 reviews)
a For f to be continuous we need lim fx f0 1 We note that for ...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 Calculus questions
-
Show that f is continuous on (- , ). x2 if x < 1
-
Show that f is continuous on ( ∞, ∞). x? if x 7/4 36. f(x) =
-
Show that f is continuous on (-, ). |1 x if x < 1 if x>1 f(x) Inx
-
(a) the maximum shear stress magnitude T1 in aluminum tube (1). (b) the maximum shear stress magnitude T2 in brass shaft segment (2). (c) the maximum shear stress magnitude T3 in brass shaft segment...
-
1. Write a C++ class derived from Graphic Interface, as given in Listing 20-1. Use an adjacency matrix to represent the graph. 2. Repeat the previous programming problem, but represent the graph...
-
Kearl Associates is a professional corporation providing management consulting services. The company initially debits assets in recording prepaid expenses and credits liabilities in recording...
-
Ratio Analysis The following information was taken from Den Manufacturing's trial balances as of December 31, 2018, and December 31, 2019. Required: 1. Calculate the gross profit margin and operating...
-
Death Valley Resort opened for business on June 1 with eight air-conditioned units. Its trial balance before adjustment on August 31 is presented here. Other data: 1. Insurance expires at the rate of...
-
You are evaluating a growing perpetuity product from a large financial services firm. The product promises an initial payment of $24,000 at the end of this year and subsequent payments that will...
-
The following data show how the marginal external benefit and marginal private benefit associated with a soil treatment agent to control Japanese beetles vary with the gallons of the control agent...
-
Let (a) Use the definition of derivative to compute f(0). (b) Show that f has derivatives of all orders that are defined on R. le- f() = if x0 %3D if x= 0 0.
-
The figure shows a beam of length L embedded in concrete walls. If a constant load W is distributed evenly along its length, the beam takes the shape of the deflection curve where E and are positive...
-
Air pollution in large US cities is monitored to see whether it conforms to requirements set by the Environmental Protection Agency. The following data, expressed as an air pollution index, give the...
-
1. Explain how servant leadership can improve communities and society. Why is leadership courage important to realize these changes? Explain how the insights and themes of "The Conscious Capitalist...
-
What are servant leadership behaviors and what do they mean to followers? Drawing on your own leadership experiences, what needs to be considered when applying servant leadership to practice?
-
what are the location decision factors? describe each location decesion factor and provide an example of each.
-
What are the primary factors influencing successful project management within a company?
-
What factors drove the consumption of stimulants like coffee on a global scale?
-
Purpose: Use the Internet to view SEC filings. Address: www.yahoo.com (or go to www.wiley.cont/coUegefyveygandt) Steps: 1. From the Yahoo homepage, choose Stock Quotes. 2. Enter a company's stock...
-
Explain briefly what is meant by electronic data interchange (EDI). How does EDI affect a companys audit trail?
-
What is measured on the two axes of a Lorenz curve?
-
Consider the curvature at x = 0 for each member of the family of functions f (x) = e cx . For which members is k(0) largest?
-
Find equations of the normal plane and osculating plane of the curve at the given point. x = ln t, y = 2t, z = t 2 ; (0, 2, 1)
-
Find equations of the osculating circles of the ellipse 9x 2 + 4y 2 = 36 at the points (2, 0) and (0, 3). Use a graphing calculator or computer to graph the ellipse and both osculating circles on the...
-
Mia was recruited as the Chief Marketing Officer (CMO) of Beta Corporation, a privately-held company in the consumer goods sector, effective July 1, 2022. Throughout the fiscal year 2023, Beta...
-
Calculate Debt Ratio: Requirements: Given the following figures from a balance sheet: Total Liabilities: $300,000 Total Assets: $700,000 Compute the debt ratio. Express the debt ratio as a...
-
Company PQR produces a single product with a selling price of $18 per unit. Fixed costs, including administrative expenses and depreciation, amount to $70,000. Variable costs, comprising raw...
Study smarter with the SolutionInn App