Let f''(x) be continuous. Show that f(x + h) 2f(x) + f(x h) h lim
Question:
Let f''(x) be continuous. Show that
Transcribed Image Text:
f(x + h) − 2f(x) + f(x − h) h² lim h 0 = f"(x).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 33% (3 reviews)
ANSWER To show that lim h0 fx h 2fx fx hh2 fx we can use the de...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
Calculus Of A Single Variable
ISBN: 9781337275361
11th Edition
Authors: Ron Larson, Bruce H. Edwards
Question Posted:
Students also viewed these Mathematics questions
-
This exercise will lead you through a proof of Chebyshevs inequality. Let X be a continuous random variable with probability density function f (x). Suppose that P(X < 0) = 0, so f (x) = 0 for x 0....
-
Let f be a nonnegative continuous function on [0,1]. (a) Show that (b) Use part (a) to evaluate xf(sin x) dx = (n/2) | f(sin x) dx. x sin x cos x ax.
-
Let f be continuous on a closed, bounded interval [a, b] and suppose that DRf{x) exists for all x (a, b). a) Show that if f(b) < y0 < f(a), then x0 := sup{x [a, b] : f(x) > y0} satisfies f(x0) = y0...
-
Write C++ statements to do the following. a. Declare int variables num1 and num2. b. Prompt the user to input two integers. c. Input the first number in num1 and the second number in num2. d. Output...
-
How can cost- volume- profit analysis determine the number of units that must be sold to achieve a certain profit after taxes?
-
You need to use two data sets for this exercise, JTRAIN2.RAW and JTRAIN3.RAW. The former is the outcome of a job training experiment. The file JTRAIN3.RAW contains observational data, where...
-
With roots that go back to before the Great Depression, Marriott International (www.marriott.com) has come a long way from its founding by husband and wife John and Alice Marriott. As of 2014,...
-
Hayes (2000) took a stratified sample of New York City food stores. The sampling frame consisted of 1408 food stores with at least 4000 square feet of retail space. The population of stores was...
-
Image transcription text Introduction: The Smart Parking Management System (SPMS) project aimed to develop an efficient, automated solution for managing parking spaces in urban areas using Arduino...
-
The Terrell Company can manufacture three products: Alpha, Beta, and Zeta, which sell for $20, $25, and $40, respectively. The materials cost for one unit is $4 for Alpha, $12 for Beta, and $10 for...
-
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. A limit of the form is indeterminate.
-
Determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false. A limit of the form /0 is indeterminate.
-
Find the derivative of the function. y = ln 4x/ x - 6
-
Explain what accrual basis accounting is and what cash basis accounting is. Understand revenue realization principle.
-
The trial balance of Boots business as at December 31st 2020 is as follows: Cash Trade Receivable 300,000 450,000 Inventory 1,000,000 Land 1,459,900 Building 1,400,000 Equipment 900,000 Trade payable...
-
Leon has a dedicated home workspace in the garage for his side gig. The workspace is 300 square feet, and the overall home is 2,400 square feet. Leon's 2022 expenses include the following: Mortgage...
-
The pooling of resources, resulting accumulation of wealth, assets such as stocks, a house, investments in human capital for children, within the context of marriage, was called by Nobel Laureate...
-
How is homeland security budget established and justified and include priorities when it comes to budgeting. provide in text citations
-
Why might there be reluctance on the part of accounting firms or their clients to embrace green initiatives like paperless systems?
-
In a nonmagnetic medium, E = 50 cos (10 9 t 8x) a y + 40 sin (10 9 t 8x) a z V/m find the dielectric constant r and the corresponding H.
-
A gasoline tank is an oblate spheroid generated by revolving the region bounded by the graph of about the y-axis, where and are measured in feet. Find the depth of the gasoline in the tank when it is...
-
In Exercises find the arc length of the graph of the function over the indicated interval. y = x + 2 [1.3] 2x'
-
In Exercises find the arc length of the graph of the function over the indicated interval. 4 f(x) = x/4, [0,4]
-
1. In the system shown in figure, all surfaces are smooth. Rod is moved by external agent with acceleration 0.9 ms vertically downwards. Force exerted on the rod by the wedge will be Newtons.
-
3. A particle of mass m is moving in the xy-plane such that its velocity at a point (x, y) is given as v = a(yx+2xy), where a is a non-zero constant. What is the force F acting on the particle? (A) F...
-
6. For which of following reversible reaction the degree of dissociation or association depends upon the value of temperature but NOT on value of pressure? (a) N2(g)+3H2(g)2NH3(g) (b) N2O4(g) 2NO2(g)...
Study smarter with the SolutionInn App