Let x = 0.99999 .... (a) Do you think that x < 1 or x = 1?

Question:

Let x = 0.99999 ....
(a) Do you think that x < 1 or x = 1?
(b) Sum a geometric series to find the value of x.
(c) How many decimal representations does the number 1 have?
(d) Which numbers have more than one decimal representation?

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus Early Transcendentals

ISBN: 978-0538497909

7th edition

Authors: James Stewart

See More Books

Question Posted: Mar 04, 2016 07:25 AM

See More Questions

A new type of smoke detector battery is developed. From laboratory tests under standard conditions, the half-life (defined as less than 50 percent of full charge) of 20 batteries are shown below. (a)...
A school district undertakes an experiment to estimate the effect of class size on test scores in second grade classes. The district assigns 50% of its previous year's first graders to small...
1. Do you think that the probability that both balls are red is higher if the first ball is replaced before the second ball is drawn or if the first ball is not replaced? 2. Suppose that the first...
A bond has an expected return of 15.33%, sensitivity to the term factor of 1.95 and to the default factor of 0.65. The current term risk premium is 3.01%. The risk-free rate of return is 3%. What is...
What is the purpose of a program management office? What are typical services provided by a program management office? How does a PMO use dashboards? Why is collecting consistent data a challenge for...
Assume that the Financial Management Corporations $1,000-par-value bond had a 5.700% coupon, matures on May 15, 2027, has a current price quote of 97.708, and has a yield to maturity (YTM) of 6.034%....
The break-even point increases when fixed cost is........ .
Aymans Office Supplies Company recently had a new information system installed to help its managers with inventory. In speaking with the managers, you notice that they seemed disgruntled with the...
Purchased 40 trike bikes from move me trikes for $40000 on account. Terms were FOB shippping point 2/15 net 30
DaVinci Inc. owns 75% of the common shares of Rembrandt Corp. On January 1, 2017, DaVinci issued bonds with a par value of $350,000 which will mature on January 1, 2022. The bonds bear interest at an...
Determine whether the series is convergent or divergent by expressing Sn as a telescoping sum (as in Example 7). If it is convergent, find its sum. a. b. c. -i nn + 3)
Calculate the first eight terms of the sequence of partial sums correct to four decimal places. Does it appear that the series is convergent or divergent? a. b. In 1 VAL
Brooks Enterprises has never paid a dividend. Free cash flow is projected to be $80,000 and $100,000 for the next 2 years, respectively, and after the second year it is expected to grow at a constant...
1. What would we have to plot on the vertical axis? EXPLAIN YOUR ANSWER OR NO CREDIT. [Hint: Solve for k first.] F= Kx kx dala you Experi determine the K= K = F Cart SHOW ALL WORK OR NO CREDITI 2....
You are interested in computing the heat transfer properties of a new insulation system shown here. Tair Air Layer 1 Layer 2 T P
16.3 The demand function for replicas for the Statue of Liberty is given by f(p): = 500 - 2p, where f(p) is the number of statues that can be sold for p dollars. (a) What is the relative rate of...
Piperel Lake Resort's four employees are paid monthly. Assume an income tax rate of 20%. Required: Complete the payroll register below for the month ended January 31, 2021. (Do not round intermediate...
4. [Communication network 1] Consider the communication network shown in the figure below and suppose that each link can fail with probability p. Assume that failures of different links are...
Derive the NOBPF coefficients of the following functions for $m=7$ : a. $f(t)=t^{2}, 0 \leq t <1 \mathrm{~s}$ b. $f(t)=\exp (-t), 0 \leq t <2 \mathrm{~s}$ Draw the exact curve along with the...
The Home Depot is the leading retailer in the home improvement industry and one of the 10largest retailers in the United States. The company included the following on its January 29, 2012, balance...
UNCOLLECTIBLE ACCOUNT EXPENSE: CREDIT SALES METHOD. Gilmore Electronics had the following data for a recent year. lol Cash sales Credit sales Accounts receivable determined to be uncollectible $...
Use a graph to find approximate x-coordinates of the points of intersection of the given curves. Then use your calculator to find (approximately) the volume of the solid obtained by rotating about...
Use a computer algebra system to find the exact volume of the solid obtained by rotating the region bounded by the given curves about the specified line. sin?x, y = 0, 0
Use a computer algebra system to find the exact volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y = xe'/2; about y = 3
Questien It Calraluta bae neark yoe cen atforal to berren
In calculating the net present value of a proposed project, the cash flows of the project should include a.) amortization of goodwill b.) interest expenses paid to bondholders c.) extra working...
If Yolanda's insurance company cancels her fire insurance policy after 204 days, how much of the $682.00 annual premium will she receive as a refund (in $)? (Round you answer to the nearest cent.) $

Let x = 0.99999 .... (a) Do you think that x < 1 or x = 1?

Question:

Step by Step Answer:

a Many people would guess that x 1 but note that x consists of an infinite number of 9s b x 09999...View the full answer

Calculus Early Transcendentals

Students also viewed these Calculus questions