Question: Using the definition of limit, prove that limn( n / (n+1) = 1; that is, for a given ( > 0, find N such that

Using the definition of limit, prove that limn→( n / (n+1) = 1; that is, for a given ( > 0, find N such that n ( N ⇒ | n / (n + 1) - 1 | < (?

Step by Step Solution

★★★★★

3.40 Rating (166 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Is the same as 1 ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

955-M-C-D-E (2452).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

You purchased a bed and breakfast at the end of 2017 for $825,000, You have four high-end rooms in a desirable, exclusive tourist location. You have received net cash flows of $48,000 the first year,...

Q:

Use the definition of limit to prove the following. (a) (b) 2x +3 r23x lim = x + 3

Q:

Prove the statement using the , definition of a limit and illustrate with a diagram like Figure 9. y. %3D 4 5 7+e 7- 8 3 - 8 3+8 lim (2x 5) = 3 x4

Q:

Prove the statement using the , definition of a limit and illustrate with a diagram like Figure 9. y. %3D 4 5 7+e 7- 8 3 - 8 3+8 lim (3x + 5) = -1

Q:

Exercise 3 (25 points) Consider the polynomial P(n) of degree k: P(n) = a nk + ak-ink-' +.....+ ain + ao. with all a > 0 Using the definition of O(n), prove that P(n) (n"). Exercise 4 (25 points)...

Q:

Give Correct ANSWERS Human-Computer Interaction (a) If you had been one of the original inventors of the WIMP interface, and engineers on the technical team had been sceptical about the advantages...

Q:

Note: All ML code must be explained clearly (INJAVAXX)and should be free of needless complexity. 2 CST.2016.1.3 2 Foundations of Computer Science Please help. (2c) (a) A prime number sieve is an...

Q:

Mohammed Yaaseen Gomdah MATH 203 Winter 2016 F WeBWorK assignment number Assignment 9 W14 is due : 03/23/2016 at 03:00am EDT. The (* replace with url for the course home page *) for the course...

Q:

I need it in JAVAx Objects: Electronic health records (EHRs) in a nationwide service. Policy: The owner (patient) may read from its own EHR. A qualified and employed doctor may read and write the EHR...

Q:

(a) For the Bayesian model given by ( | )~ ( , ) Y Bin n and the prior ~ (,) Beta , find the posterior predictive density of a future data value x, whose distribution is defined by ( | , )~ ( , ) x y...

Q:

answer well. The core relational algebra can be extended with a duplicate elimination operator, and a grouping operator. (i) Define carefully these two operators. [3 marks] (ii) Assuming the grouping...

Q:

List the different business models identified by Timmers (1999).

Q:

What is the largest value of x for which the series Question 7 00 Not yet answered (x 13)" n177" n=1 Marked out of 5 is absolutely convergent? P Flag question Answer:

Q:

4. As of January 1, 20X8, Myeongseong Co., Ltd. has a balance of 10,000,000 won 1,000 shares issued * * face value of 10,000 won per share), a stock issue surcharge of 5,000,000 won, and a carry-over...

Q:

What are the syntax and semantics of the include construct?

Q:

Engineering Structures (July 2013) published a study of the characteristics of fresh concrete. One key variable studied was the time (in hours) needed for pressure stabilization of the concrete. The...

Q:

Solve for y(t) for the following system represented in state space, where u(t) is the unit step. Use the Laplace transform approach to solve the state equation. -3 1 01 X = |0 -6 1 x+1 u(t) 0 0 -5 y...

Q:

Given the following system represented in state space, solve for Y(s) using the Laplace transform method for solution of the state equation: -2 -4 1 x+ |0 0 e- 0 -6 y = [0 0 1]x; x(0) =

Q:

Show a tree achieving the worst-case running time for algorithm depth.

Q:

20. Four meetings in 2008 at which the Fed changed the target for the federal funds rate are shown below. January 30, 2008 March 18, 2008 October 8, 2008 October 29, 2008 Pick one of these dates and...

Q:

Let an = 2n / 3n +1. (a) Determine whether {an}is convergent. (b) Determine whether (n-1 an is convergent.

Q:

Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum. a. 3 - 4 + 16/3 - 64/9 + ... b. 10 - 2 + 0.4 - 0.08 +... c. 6(0.9) n-1

Q:

Determine whether the series is convergent or divergent. If it is convergent, find its sum. a. 1/3 + 1/6 + 1/9 + 1/12 + 1/15 + .... b. c. 12 3"

Q:

You wrote a piece of software that does a better job of allowing computers to network than any other program designed for this purpose. A large networking company wants to incorporate your software...

Q:

Only f and h 16. A health psychologist is interested in whether a no carb diet or no sugar diet is more effective for weight loss, The psychologist predicts there will be a difference in weight loss...

Q:

Patients arrive at a dentist clinic according to a Poisson process {X (t) :1 2 0} with parameter A: that is, on average A patients arrive per hour. The receptionist at the clinic notices that there...