Let b R satisfy 0 < b < 1. Show that lim(nbn) = 0. [Use the

Question:

Let b ∈ R satisfy 0 < b < 1. Show that lim(nbn) = 0. [Use the Binomial Theorem as in Example 3.1.11(d).]

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

See More Books

Question Posted: Apr 07, 2016 10:56 AM

See More Questions

Use the binomial theorem to compute the following. (x + 2)3
Let H V Rn, with H convex and V open, and suppose that : V Rn is C1. a) Show that if E is a closed subset of H and then h(x)/||h|| 0 uniformly on E, as h 0. b) Show that if R is a closed...
Let E be a set in Rm. For each u: E R which has second-order partial derivatives on E, Laplace's equation is defined by a) Show that if u is C2 on E, then Îu = (u) on E. b) Show that if E R3...
A 63.0-F capacitor is connected to a generator operating at a low frequency. The rms voltage of the generator is 4.00 V and is constant. A fuse in series with the capacitor has negligible resistance...
Assume that the objective function in Problem 40 has been changed from Z = 30X1 + 70x2 to Z = 90x1 + 70x2. Determine the slope of each objective function and discuss what effect these slopes have on...
Expand the quotients by partial fractions. [+2 z(z 1)
Which major will allow me to follow my dream of becoming a business owner?(p. 208)
On January 1, 2017, Four Brothers Manufacturing borrowed $10 million from Guiffrie Bank by signing a three-year, 8.0% fixed-rate note. The note calls for interest to be paid annually on December 31....
I need work checked and/or help getting formulas for cells B52 (NPV, question 4) and B54 (PV discounted to year 0, question 3C) Details: Business Corp. has developed a new construction chemical that...
Table 3.6 gives data on indexes of output per hour (X) and real compensation per hour (Y) for the business and nonfarm business sectors of the U.S. economy for 19602005. The base year of the indexes...
The sequence (xn) is defined by the following formulas for the nth term. Write the first five terms in each case: (a) xn := 1 + (1)n, (b) xn := (-1)n/n; (c) xn := 1/n(n + 1), (d) x := 1/n2 + 2.
Show that lim(2n/n!) = 0. [If n > 3, then 0 < 2n/n! < 2(2/3)n-2.]
Lets have some practice with the dynamic aggregate demand curve. If you want to draw it in your familiar y = b + mx format, you can think of it this way: Inflation = (Growth in money + Growth in...
For the demand equation, express the total revenue R as a function of the price p per item. R(p) q=-6p+ 600 Sketch the graph of the resulting function. 20000 19000 18000 17000 16000 O 15000 14000...
Kosovski Company is considering Projects S and L, whose cash flows are shown below. These projects are mutually exclusive, equally risky, and repeatable. The WACC is 11.50%. Year: 0 1 2 3 4 CF for S:...
What is among the most important things you should do in a negotiation? What is among the most important things you should do in a negotiation? Try to get your way on as many issues as possible. Find...
analyze the following column values and answer question: Value Value Label Frequency Percentage Weighted Percentage 1 - 87 Number of children Notes: _ _ = Number of children 113,819 25.78 36.41 88...
Reflect on the following questions. Post your response to the discussion board. Post your discussion post by Thursday . 1 peer response due by Sunday. This discussion has two parts: 1) Mediators and...
Write the usage of session and application implicit objects.
Fred Farmer needs to prepare a balance sheet for his bank. He spent the day getting the following information. Fred needs your help to build a balance sheet and evaluate it. The information was...
A uniform disk with radius 1 m is to be cut by a line so that the center of mass of the smaller piece lies halfway along a radius. How close to the center of the disk should the cut be made? (Express...
(a) Write an expression for the surface area of the surface obtained by rotating the curve y = f(x), a x b, about the -axis. (b) What if x is given as a function of y? (c) What if the curve is...
Describe how we can find the hydrostatic force against a vertical wall submersed in a fluid.
nformation pertaining to Noskey Corporation s sales revenue follows: November 2 0 2 1 ( Actual ) December 2 0 2 1 ( Budgeted ) January 2 0 2 2 ( Budgeted ) Cash sales $ 1 0 5 , 0 0 0 $ 1 1 5 , 0 0 0...
The management team of Netflix maintains a stable dividend using the Lintner model: Dt+1 = Dt + EPS Target Payout Where Dt (Dt+1) = dividend in the current period t (the next period t + 1) EPSt =...
#1 #2 hapter 50 10 D Werences lav Help Required information [The following information applies to the questions displayed below) Archer Company is a wholesaler of custom-built air-conditioning units...

Let b R satisfy 0 < b < 1. Show that lim(nbn) = 0. [Use the

Question:

Step by Step Answer:

Let b 11 a where a 0 ...View the full answer

Introduction to Real Analysis

Students also viewed these Calculus questions