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: 46% (13 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 912 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 (subjectsHistory,Geography,Civics,Political Science) from 20142016.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 912.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 201. Use an adjacency matrix to represent the graph. 2. Repeat the previous programming problem, but represent the graph...

Ackerman and Goldsmith (2011) found that students who studied text from printed hardcopy had better test scores than students who studied from text presented on a screen. In a related study, a...

From your analysis, does an organization in your community consistently exceed state, national, and local performance metrics? If so, would you recommend this organization to your family and friends?

The socalled local carrier is also almost unique to the motorcarrier industry. Why?

Exercise 96 (Algorithmic) (LO. 6) In 2019, Simon, age 12, has interest income of $6,780 and no earned income. He has no investment expenses. Click here to access the 2019 tax rate schedule and 2019...

A highway survey PI falls in a pond, so a cut off line AB = 275.12 ft is run between the tangents. In the triangle formed by points A, B, and PI, the angle at A = 1628( and at B = 2216(. The station...

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...

Choose an Oiles SP 500 alloy brass bushing to give a maximum wear of 0.002 in for 1000 h of use with a 400 rev/min journal and 100 lbf radial load. Use hCR = 2.7 Btu/ (h. ft2. F), Tmax = 300F, fs =...

Complete the "Leadership Vision Questionnaire" in Chapter 7 (p176). Reflect on your results and complete the following prompts: Share the results from your questionnaire. Be sure to include the final...

1. Prepare el Presupuesto Operacional hasta completar el COGS (70 puntos) La empresa ACCO 295 tiene una venta proyectada de $450,000 Cada unidad se vende $450 Su inventario inicial 300 (costo $125)...

Continuing Case 65. Retirement Income Forecast Jamie Lee and Ross, now 57 and still very active, have plenty of time on their hands now that the triplets are away at college. They both realized that...

The partnership of Frick, Wilson, and Clarke has elected to cease all operations and liquidate its business property. A balance sheet drawn up at this time shows the following account balances: Cash...

Harry and Sally went to a large hardware store and told the salesperson they wanted the cheapest rotating clothesline in stock, provided it would bear a heavy load of washing. The salesperson assured...

What is comparative risk analysis?

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...

Which of the following statements is true? Financial measures tend to be lag indicators that report on the results of past actions. LA profit center is responsible for generating revenue, but it is...

Andretti Company has a single product called a Dak. The company normally produces and sells 8 0 , 0 0 0 Daks each year at a selling price of $ 5 6 per unit. The company s unit costs at this level of...

What are the major characteristics of plant assets? Choose one category of PP&E (land, land improvements, buildings or equipment) and describe the costs that may be capitalized with this asset.
Study smarter with the SolutionInn App