The meaning of the decimal representation of a number 0.d1d2d3 (where the digit d1 is one of
Question:
0.d1d2d3...= d1/10 d2/102 + d3/103 + d4/104 + ...
Show that this series always converges.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 57% (7 reviews)
Since d n 10 n 910 n for each n ...View the full answer
Answered By
Bhartendu Goyal
Professional, Experienced, and Expert tutor who will provide speedy and to-the-point solutions. I have been teaching students for 5 years now in different subjects and it's truly been one of the most rewarding experiences of my life. I have also done one-to-one tutoring with 100+ students and help them achieve great subject knowledge. I have expertise in computer subjects like C++, C, Java, and Python programming and other computer Science related fields. Many of my student's parents message me that your lessons improved their children's grades and this is the best only thing you want as a tea...
3.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Calculus questions
-
The meaning of the decimal representation of a number 0.d1d2d3 . . . (where the digit di is one of the numbers 0, 1, 2 . . . 9) is that Show that this series always converges. dz d, 10 104 da...
-
The meaning of the decimal representation of a number 0.d 1 d 2 d 3 . . . (where the digit d i is one of the numbers 0, 1, 2, . . . , 9) is that di d2 0.d, d2dzd4 ... dz d4 10 102 103 104
-
Find the decimal representation of -2/7.
-
You accepted a new job with starting salary of $52,000 per year. The salary is expected to increase 4% each year. Now it is time to make a retirement plan for the next 39 years you expect to work....
-
What are the advantages and disadvantages of buying prepackaged software?
-
What is the difference between common shares and preferred shares?
-
The P/V ratio of Amit Brothers is 60% and percentage of margin of safety is 40. You are required to calculate B.E.P and profit, if the sales volume is Rs. 1,20,000. [Ans.: (1) M.O.S - Rs. 48,000 (2)...
-
a. You created an interactive StaffDinnerEvent class that obtains all the data for a dinner event for Carlys Catering, including details about the event and all the staff members required to work at...
-
Concord Corporation has gathered the following information concerning one model of shoe: Variable manufacturing costs $50000 Variable selling and administrative costs $30000 Fixed manufacturing costs...
-
Norr and Caylor established a partnership on January 1, 2019. Norr invested cash of $100,000 and Caylor invested $30,000 in cash and equipment with a book value of $40,000 and fair value of $50,000....
-
Use the sum of the first 10 terms to approximate the sum of the series. Estimate the error. (a) (b) 1 n' - T - 1 +''
-
Prove that if an 0 and an converges, then also converges.
-
What is meant by the term nesting of procedures?
-
4. Provide the information requested in the statements below: a) Find and draw all C's that do not contain H's (if any). For this, redraw the structure where you show the d ('s). N b) Find and draw...
-
Suppose that f(x) = 8x + 5. (A) Find the slope of the line tangent to f(x) at x = 7. (B) Find the instantaneous rate of change of f(x) at x = -7. C) Find the equation of the line tangent to f(x) at x...
-
Whichof the following regarding the relationship between business risk and financial risk is least accurate based on our discussions in class? A. Business risk represents uncertainty caused by...
-
2. Question 2 When preparing a financial spread analysis, what should be done when the financial statement captions don't align with those provided in the spread template? 1 point Conform the...
-
Your company just secured an $6 million contract with a major public-sector client that is expected to generate thousands of jobs over the next 10 years. Describe the scenario as a blog.
-
What are the advantages of using sample-and-hold operational transfer function (SHOTF) over the block pulse operational transfer function (BPOTF) in analyzing control systems involving...
-
X-1 Find the domain of the function f(x) : x 1 2 - O (-00, -1) U (-1, ) O (-00, 1) U (1, ) O -00, -1) U (-1, 1) U (1, 0) O (- 1, 1)
-
Silver Aviation assembles small aircraft for commercial use. The majority of Silver's business is with small freight airlines serving those areas where the airport size does not accommodate larger...
-
Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = cos?x, |x| < T/2, y = ; about x = - /2 T,
-
Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis. y = x, y = x 2 ; about y = 2
-
Each integral represents the volume of a solid. Describe the solid. T(2 sin x) dx
-
Practice Problem 1 The stockholders equity accounts of Bramble Corp. on January 1, 2017, were as follows. Preferred Stock (6%, $100 par noncumulative, 4,400 shares authorized) $264,000 Common Stock...
-
JVCU Which of the following is considered cash for financial reporting purposes? 1 JVCU Which of the following is considered cash for financial reporting purposes? 1
-
Required information The Foundational 15 [LO8-2, LO8-3, LO8-4, LO8-5, LO8-7, LO8-9, L08-10) (The following information applies to the questions displayed below.) Morganton Company makes one product...
Study smarter with the SolutionInn App