Around 1910, the Indian mathematician Srinivasa Ramanujan discovered the formula William Gosper used this series in 1985 to compute the first 17 million digits of (a) Verify that the series is convergent (b) How many correct decimal places of do you get if you use just the first term of the series ...

a so by the Ratio Test the series b With the first term so we get 6 corr ...

Around 1910, the Indian mathematician Srinivasa Ramanujan discovered the formula William Gosper used this series in 1985

Question:

Around 1910, the Indian mathematician Srinivasa Ramanujan discovered the formula

William Gosper used this series in 1985 to compute the first 17 million digits of π.

(a) Verify that the series is convergent.

(b) How many correct decimal places of π do you get if you use just the first term of the series? What if you use two terms?

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: 9781337613927

9th Edition

Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin

See More Books

Question Posted: May 20, 2021 06:49 AM

See More Questions

Suppose that a company paid $ 4 per share dividend last year, its dividend is expected to grow at 10 percent for the next 8 years and 2 percent thereafter. If its cost of equity is 8 percent, what is...
Many mathematicians agree that the decimal digits of TT cannot be distinguished from any random sequence. Given below are the first 100 decimal places of TT. Test for randomness of odd (O) and even...
Use the Maclaurin series for sin x to compute sin 3o correct to five decimal places.
You are the cashier employed at Tastee Limited. On November 30, 2020, you started with a float of $6,500 and at the end of the business day your cash in the cash till were as follows: Notes Coins...
When performing a chi-square test for independence, explain how the "cell frequencies under the independence assumption" are calculated. For what purpose are these frequencies calculated?
In its IPO, 1 million company shares were issued at a price of $28 per share. The underwriter's fee for the offering was 10% of gross proceeds and the issuer incurred direct out-of-pocket costs of...
How have historical trends in society influenced a development in management and organization theory? Provide an example. LO.1
The following is the post-closing trial balance for the Whitlow Manufacturing Corporation as of December 31, 2010. The following transactions occurred during January 2011: Jan.1 Sold merchandise for...
TES-340 Inc. Balance Sheet March 31 Assets Cash Accounts receivable $ 81,000 132,000 56,250 214,000 Inventory Plant and equipment, net of depreciation Total assets $483,250 Liabilities and...
On January 1, 2019, Cayce Corporation acquired 100 percent of Simbel Company for consideration transferred with a fair value of $126,000. Cayce is a U.S.-based company headquartered in Buffalo, New...
(a) Starting with the geometric series find the sum of the series (b) Find the sum of each of the following series. (c) Find the sum of each of the following series. E-o x", 100
Use the following steps to show that the sequence has a limit. (The value of the limit is denoted by and is called Eulers constant.) (a) Draw a picture like Figure 6 with f(x) = 1/x and interpret t...
Briefly explain the following concepts as they apply to the preparation of financial statements: a. Relevance b. Faithful representation c. Accounting entity d. Going concern e. Accounting period f....
In the following vignette write out three examples of a MI intervention in response to what the client has shared. Mark is a 19-year-old, male who lives with his parents and younger brother. His...
Photon Technologies, Inc., a manufacturer of batteries for mobile phones, signed a contract with a large electronics manufacturer to produce three models of lithiumion battery packs for a new line of...
Most human behaviour: can be easily explained has multiple causes stems from unconscious desires depends on social influence
In what ways are the information processing theories of cognitive development discussed in PSY393 different from the embodied cognition perspective? In what ways are they similar? In your opinion,...
Problem 15-6B Accounting for share investments LO4 CHECK FIGURE: 2. Carrying value per share, $19.63 River Outdoor Supply Corporation (River Corp.) was organized on January 2, 2023. River Corp....
How would you assess your ability to handle stress (including work and personal life)? Given the information provided in chapter 5, what could you do to improve your effectiveness in this area?...
DEPARTMENT DATA EMPLOYEE DATA EmployeeNumber FirstName Mary Rosalie Richard George Alan 3 4 5 7 8 9 855555ES 12 13 14 15 16 17 Create the database tables in SQL or ACCESS: 18 19 20 PROJECT DATA Ken...
Two graphs, a and b, are shown. One is a curve y = f (x) and the other is the graph of its curvature function y = k(x). Identify each curve and explain your choices.
Two graphs, a and b, are shown. One is a curve y = f (x) and the other is the graph of its curvature function y = k(x). Identify each curve and explain your choices. a b
(a) Graph the curve r(t) = (sin 3t, sin 2t, sin 3t). At how many points on the curve does it appear that the curvature has a local or absolute maximum? (b) Use a CAS to find and graph the curvature...
explain in excel please For a particular product the price per unit is $6. Calculate Revenue if sales in current period is 200 units. Conduct a data analysis, on revenue by changing the number of...
Hall Company sells merchandise with a one-year warranty. In the current year, sales consist of 35,000 units. It is estimated that warranty repairs will average $10 per unit sold and 30% of the...
Q 4- Crane Corporation, an amusement park, is considering a capital investment in a new exhibit. The exhibit would cost $ 167,270 and have an estimated useful life of 7 years. It can be sold for $...

Around 1910, the Indian mathematician Srinivasa Ramanujan discovered the formula William Gosper used this series in 1985

Question:

2/2 (4n)!(1103 + 26390п) Σ 9801 TT (п!)*3964я n=0

Step by Step Answer:

a so by the Ratio Test the series b With the first term so we get 6 corr...View the full answer

Calculus Early Transcendentals

Students also viewed these Mathematics questions