Question: Work each problem. Use to show that 2 + 1 + 1/2 + 1/4 + converges to 4. lim S.

Work each problem.

Use

lim S. п


to show that 2 + 1 + 1/2 + 1/4 + · · · converges  to 4.

lim S.

Step by Step Solution

★★★★★

3.42 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

2111 r 2 1 and q 2 a1 Sn Sn 1r 1r is ... 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

Students Have Also Explored These Related College Algebra Questions!

Q:

Show that Converges if 2"r"

Q:

Show that (2, - 1), (5, 3) and (11, 11) are on the same line.

Q:

In Problems 1 - 4, show that each series converges absolutely? 1. 2. 3. 4. nVn n+ 2" n+1

Q:

10-4.2 The Wirehouse Lumber Company will soon begin logging eight groves of trees in the same general area. Therefore, it must develop a system of dirt roads that makes each grove accessible from...

Q:

Use the principle of mathematical induction to prove that 2 | (n^2 + n) for all n greaterthanorequalto 0. Use the principle of mathematical induction to prove that 2n + 3 lessthanorequalto 2^n for...

Q:

Section 10.4 Reading Assignment: Comparison Tests Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three questions very carefully...

Q:

Section 10.4 Reading Assignment: Comparison Tests Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three questions very carefully...

Q:

Problem 1 Let f(x) = 1cosx x2 . 1a) Show that (Hint: Lhospital rule) lim h0f(h) = 1/2 1b) Find the rate of convergence of f(h) 1/2 as h 0. That is, find the constant such that lim h0 |f(h) 1/2| h is...

Q:

Problem 1: [20 pts] Recall the definition of convergence for series: we say that ax converges iff lim 1+00 k=ko k=ko n exists. When this limit does exist, we say that E ax converges to lim k=ko k=ko...

Q:

(a) Consider the following statement. The direct comparison test can be used to show that the first series converges by comparing it to the second series. 1 = 2 n = 2 The following is a proposed...

Q:

What is the difference between a forwarding table that we encountered in destination-based forwarding in Section 4.1 and Open Flow's flow table that we encountered in Section 4.4?

Q:

What methods are used overcome objections in international personal selling?

Q:

Regulation D of the Federal Reserve Act of 1 9 1 3 specifies that banks must hold reserves against q , , which are defined as total transaction accounts minus demand deposit balances due from U . S ....

Q:

What is the price of a European put option on a non-dividend-paying stock when the stock price is $69, the strike price is $70, the risk-free interest rate is 5% per annum, the volatility is 35% per...

Q:

Use the formula for n C r to solve Exercises 4956. Of 12 possible books, you plan to take 4 with you on vacation. How many different collections of 4 books can you take?

Q:

In Exercises 4952, a single die is rolled twice. Find the probability of rolling an even number the first time and a number greater than 2 the second time.

Q:

In Exercises 5354, find and simplify. f(x) = x 4 + 7 f(x +h)-f(x) h

Q:

Geary Machine Shop is considering a four-year project to improve its production efficiency. Buying a new machine press for $979,200 is estimated to result in $326,400 in annual pretax cost savings....

Q:

The computer output given below is for problem #3. Use this to answer the following questions. (a) How much could the profit on X increase or decrease without changing the values of X and Y in the...

Q:

Scanlon Inc.'s CFO hired you as a consultant to help her estimate the cost of capital. You have been provided with the following data: Tre = 4.10%; RPM = 5.25%; and b = 0.70. Based on the CAPM...