Prove that is continuous at c if and only if lim f(c + h) = f(c).
Question:
Prove that ƒ is continuous at c if and only if
Transcribed Image Text:
lim f(c + h) = f(c). h→0
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 57% (7 reviews)
To prove that is continuous at c if and only if lim h 0 fc h fc we need to show two things If is con...View the full answer
Answered By
Chandrasekhar Karri
I have tutored students in accounting at the high school and college levels. I have developed strong teaching methods, which allow me to effectively explain complex accounting concepts to students. Additionally, I am committed to helping students reach their academic goals and providing them with the necessary tools to succeed.
0.00
0 Reviews
10+ Question Solved
Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
Students also viewed these Mathematics questions
-
Prove that f is continuous at c if and only if limt0 (c + t) = f(c).
-
Prove that if f is continuous at c and f(c) > 0 there is an interval (c - 6, c + 6) such that f(x) > 0 on this interval.
-
Prove Theorem 6.2.5. In Theorem 6.2.5. Continuous Functions of Random Variables. If , and if g(z) is a function that is continuous at z = b, then
-
In Exercises 8194, begin by graphing the absolute value function, f(x) = |x|. Then use transformations of this graph to graph the given function. h(x) = x + 4 - 2
-
Consider the changes over time in the U.S. effective tax rates presented in Table 19-1. How did the total effective tax burden change for the lowest and highest deciles of the population between 1979...
-
1. Evidence indicates that many buyers do not read beer labels and perhaps do not care about precise alcohol content. Given that evidence, if AB did, in fact, dilutes its beer, would that dilution...
-
Given the growing popularity of video games among young people, one study examined how women are portrayed in these games (Dietz, 1998). Dr. Dietz was particularly interested in whether video games...
-
Mastery Problem: Capital Investment Analysis HomeGrown Company HomeGrown Company is a chain of grocery stores that are similar to indoor farmer's markets, providing fresh, local produce, meats, and...
-
In Marigold Company, the Cutting Department had beginning work in process Inventory of 4000 units, completed and transferred out 26000 units, and fiad an ending work in process inventory of 3500...
-
Consider the 2013 declined loan data from LendingClub titled RejectStatsB2013 from the Connect website. Similar to the analysis done in the chapter, lets scrub the risk score data. First, because our...
-
Is it true that a continuous function that is never zero on an interval never changes sign on that interval? Give reasons for your answer.
-
a. Suppose that the inequalities hold for values of x close to zero. What, if anything, does this tell you about Give reasons for your answer. b. Graph the equations y = (1/2) - (x 2 /24), y = (1 -...
-
We have seen that the heart produces a magnetic field that can be used to diagnose problems with the heart. The magnetic field of the heart is a dipole field produced by a loop current in the outer...
-
Calculate the gain in entropy when \(1 \mathrm{~kg}\) of water at \(30^{\circ} \mathrm{C}\) is converted into steam at \(150{ }^{\circ} \mathrm{C}\) and then superheated to \(300^{\circ}...
-
A substance has the following physical properties at a certain pressure: Saturation temperature, \(t_{s}=76^{\circ} \mathrm{C} ; h_{\mathrm{fg}}=61.1 \mathrm{~kJ} / \mathrm{kg}\) \(c_{p(\text {...
-
Show that if a liquid is in equilibrium with its own vapour and an inert gas in a closed vessel, then \[\frac{\mathrm{d} p_{v}}{\mathrm{~d} p}=\frac{ho_{v}}{ho_{l}}\] where \(p_{v}\) is the partial...
-
A steam turbine operates on a Carnot cycle, with a maximum pressure of 20 bar and a condenser pressure of 0.5 bar. Calculate the salient points of the cycle, the energy addition and work output per...
-
Recalculate P3.1 assuming that the pump efficiency, \(\eta_{\mathrm{P}}=0.8\), and the turbine efficiency, \(\eta_{\mathrm{T}}=\) 0.9. Comment on the effect on the thermal efficiency of the plant,...
-
Victoria had income for tax purposes for the current year as follows: Salary $65,000 Taxable benefits 5,000 Registered pension plan deduction (3,000) Employment income for tax purposes 67,000 Loss...
-
How has the globalization of firms affected the diversity of their employees? Why has increased diversity put an additional burden on accounting systems?
-
In problem, follow Steps 1 through 8 to analyze the graph of each function. R(x) = 3x + 3/2x + 4
-
In problem, graph each function using transformations (shifting, compressing, stretching, and reflection). Show all the stages. f(x) = (x - 1) 4 + 2
-
In problem, solve the inequality by using the graph of the function. Solve f(x) < 0, where f(x) = x 2 (x - 3).
-
Company A is financed by 29% of debt and the rest of the company is financed by common equity. The company's before-tax cost of debt is 3.5%, and its cost of equity is 6.9%. If the marginal tax rate...
-
Consider the three player normal form game described by the payoff matrices below. Players 1 and 2 have two choices each while player 3 has three choices. Player 3 choices correspond to each of the...
-
This Final Project requires you to create a Linux server environment, demonstrating the various features and tools of a Linux network. You will document this process with both written descriptions,...
Study smarter with the SolutionInn App