Suppose that f: N R. If prove that limn f(n)/n exists and equals L. limo f(n
Question:
prove that limn†’ˆž f(n)/n exists and equals L.
Transcribed Image Text:
limo f(n + 1)-f(n) = L,
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 83% (12 reviews)
Let 0 Set n sup k n fk 1 fkL and notice by hypothesis that n 0 as n Thus choos...View the full answer
Answered By
Muhammad Umair
I have done job as Embedded System Engineer for just four months but after it i have decided to open my own lab and to work on projects that i can launch my own product in market. I work on different softwares like Proteus, Mikroc to program Embedded Systems. My basic work is on Embedded Systems. I have skills in Autocad, Proteus, C++, C programming and i love to share these skills to other to enhance my knowledge too.
3.50+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Numerical Analysis questions
-
Suppose that f : R2 R is Cp on βr(x0, y0) for some r > 0. Prove that, given (x, y) Br(x0, y0), there is a point (c, d) on the line segment between (x0, y0) and (x, y) such that p-1
-
Suppose that f : [a, b] R is continuous and that for all integers n > 0. a) Evaluate ba P(x) f(x) dx for any polynomial P on R. b) Prove that ba|f(x)|2 dx = 0. c) Show that f(x) = 0 for all x [a,...
-
Suppose that f : R R is continuous and periodic. The modulus of continuity of f is defined by a) Show that for k N. b) Prove that for k N. c) Use part b) to give a different proof the...
-
The accompanying table shows proportions of computer salespeople classified according to marital status and whether they left their jobs or stayed over a period of 1 year. a. What is the probability...
-
Randall Corporation plans to borrow $233,000 for one year at 20 percent from the Waco State Bank. There is a 21 percent compensating balance requirement. Randall Corporation keeps minimum transaction...
-
If you are requesting an adjustment from a company but youre not sure what the best solution would be, which of the following tactics would be best? a. Ask the company to assess the situation and...
-
Golden State Warriors: One Game During a record breaking season the Golden State Warriors of the National Basketball Association (NBA) won 24 straight games to start the 2015-2016 season. Adam Pearce...
-
A city established a public housing authority to fund the construction of low-income residential homes within city limits. The authority is governed by a nine-person board of trustees. New trustees...
-
The short-term financing policies can be flexible or restrictive. Discuss THREE (3) advantages and TWO (2) disadvantages of the Restrictive policy.
-
T 1. Butler Pools and Spa sells pool supplies in Southern California. In that industry, Butler sales show seasonality based on 3 seasons (Winter-Jan to April, Summer-May to August, and Fall-...
-
Suppose that P is a polynomial and that P(a) > 0 for a fixed a R. Prove that P(x)/(x - a) as x a+, P(x)/(x - a) - as x a-, but does not exist. P(x)
-
Decide which of the following statements are true and which are false. Prove the true ones and provide counterexamples for the false ones. a) If f is continuous on [a, b] and J := f([a, b]), then J...
-
Find the vertices, foci, and asymptotes of the hyperbola and sketch its graph. x 2 y 2 = 100
-
Write the expression in the form \(D \sin (\omega t+\phi)\). \(\cos t+\frac{1}{3} \sin t\)
-
Express each complex number in its polar form. \(-\frac{1}{2} j\)
-
Using real-world examples, discuss the possible relationship between economic growth and economic development.
-
Find all possible values for each expression. \(\sqrt{1+j \sqrt{2}}\)
-
Write the expression in the form \(D \sin (\omega t+\phi)\). \(\frac{1}{2} \cos 3 t-\sin 3 t\)
-
The probability density functions shown in the graphs have the same mean. Which has the smallest standard deviation? (a) (b) (c) 1 X
-
A sample statistic will not change from sample to sample. Determine whether the statement is true or false. If it is false, rewrite it as a true statement.
-
An assembly consists of three mechanical components. Suppose that the probabilities that the first, second, and third components meet specifications are 0.95, 0.98, and 0.99. Assume that the...
-
Determine the cumulative distribution function of the random variable in Exercise 3-13.
-
Determine the cumulative distribution function for the random variable in Exercise 3-15; also determine the following probabilities: (a) P(X < 1.25) (b) P (X < 2.2) (c) P (-1.1 < X < 1) (d) P (X > 0)
-
How may price floors and ceilings destroy market equilibrium? How does the shape of the indicator line on the graph show diminishing returns? Monthly rent A Price Ceiling on Rent B $900 $800...
-
Provide a comprehensive analysis of the regulatory frameworks governing financial institutions, delineating the intricate interplay between prudential supervision, market conduct standards, and...
-
How does the forum meet organisational objectives? What vocabulary, tone, structure and style suits the audience? How will I: build trust develop positive working relationships ...
Study smarter with the SolutionInn App