Consider (a) Show that if |x 2| Then explain why this proves that 1 lim x2

Question:

Consider 1 lim x2 X

(a) Show that if |x − 2|

2 X x-21

(b) Find a 8 >0 such that if 0 < x-2 <6, then <0.01. (c) Let & be the smaller of 1 and 2. Prove the

Then explain why this proves that 1 lim X-2 X || 1 2

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

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

See More Books

Question Posted: Nov 03, 2023 07:37 AM

See More Questions

List three specific parts of the Case Guide, Objectives and Strategy Section (See below) that you had the most difficulty understanding. Describe your current understanding of these parts. Provide...
Show that if x > 0 and if n > 2x, then Use this formula to show that 2 2/3 2x+1 (n+ 1)! n!
Show that if X is a continuous random variable, then where m is the median of X (see Exercise 2.17), EX ml, min E X - al E
Look at the expansion joint in the photo of Figure 15.13. Would you say the photo was taken on a warm day or a cold day? Why?
What is suboptimization, and what factors contribute to it in a decentralized firm?
Your client, Summerford, Inc., has a debt agreement with Valley City Bank that includes a number of restrictions and covenants. Violation of any restriction or covenant results in the entire amount...
What are exception messages? What is their purpose?
A laser pointer is kept at a constant and fixed height above the floor, but it can move horizontally back and forth in a straight line. A mirror is placed on a platform at a fixed distance from a...
You are an audit senior in an accounting firm and you asked the audit partner about the 'audit expectation gap' The audit partner provided his opinion in the issue as follows: There is a co called...
Verify each limit using the limit definition. For example, in Exercise 13, show that |3x 12| can be made as small as desired by taking x close to 4. lim(5x + 2) = 17
In Exercises 716, evaluate the limit. lim X-00 3x - 10 x + 4
a. Expand (2 + x) 4 . b. Use your answer to part a to express (2 + 3) 4 in the form a + b3 .
The following data (and annotations) for March 2016 are for the work in process account of the first of Olympus Companys four departments used in manufacturing its nly product. Assuming that Olympus...
If relative volatility can be assumed constant over the change in concentration for each fraction, Eq. $(9-13)$ can be adapted to the collection of fractions from a simple binary batch...
(a) Design a PI controller for Problem 8.6-4(b). (b) Design a PD controller for Problem 8.6-4(c). (c) Use the results of parts (a) and (b) to repeat Problem 8.6-4(d). Problem 8.6-4(b) (c) (d) (b)...
n1 = 15, n2 = 18, S = 280, H1: m1 > m2. Exercises 57 present sample sizes and the sum of ranks for the rank-sum test. Compute S, S, and the value of the test statistic z. Then find the P-value.
n1 = 25, n2 = 32, S = 850, H1: m1 m2. Exercises 57 present sample sizes and the sum of ranks for the rank-sum test. Compute S, S, and the value of the test statistic z. Then find the P-value.
Sound Tek Inc. manufactures electronic stereo equipment. The manufacturing process includes printed circuit (PC) board assembly, final assembly, testing, and shipping. In the PC board assembly...
An 8.0 kg crate is pulled 5.0 m up a 30 incline by a rope angled 18 above the incline. The tension in the rope is 120 N, and the crates coefficient of kinetic friction on the incline is 0.25. a. How...
If f(x) = 5x, show that 5t- 1
Suppose the graphs of f(x) = x2 and g(x) = 2* are drawn on a coordinate grid where the unit of measurement is 1 inch. Show that, at a distance 2 ft to the right of the origin, the height of the graph...
Compare the functions f(x) = x10 and g(x) = ex by graphing both f and in several viewing rectangles. When does the graph of finally surpass the graph of f?
Actual Return Benefit Payments to Retirees on the Pension Pension Fund Year 2016 $350,000 Expense $720,400 $810,100 Contribution $675,000 $700,000 $725,000 $680,000 $320,000 $350,000 $350,000 2017...
Question 1 of 14 2.5 Points The information below relates to questions 1 14. Sisters Tsholo and Kele won a lucrative mining services contract in Stoffberg (Mpumalanga) and decided to start a...
Real estate tax is levied for the calendar year from Jan 1 to Dec 31 and is payable in the following year (in arrears). The accrued portion is for the period from Jan 1 through the date of closing...

Consider (a) Show that if |x 2| Then explain why this proves that 1 lim x2

Question:

1 lim x→2 X

Step by Step Answer:

1 a Since x2 1 it follows that 1 x 3 in particular that x 1 Because x 1 ...View the full answer

Calculus

Students also viewed these Mathematics questions