Prove that if is a convergent series of positive real numbers, then so is n=1 an
Question:
Prove that ifis a convergent series of positive real numbers, then so is
Transcribed Image Text:
Σ n=1 an
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (15 reviews)
Consider two cases 1 2n1 If an z ann1 If ...View the full answer
Answered By
Mehwish Aziz
What I have learnt in my 8 years experience of tutoring is that you really need to have a friendly relationship with your students so they can come to you with their queries without any hesitation. I am quite hardworking and I have strong work ethics. Since I had never been one of those who always top in the class and always get A* no matter what, I can understand the fear of failure and can relate with my students at so many levels. I had always been one of those who had to work really hard to get decent grades. I am forever grateful to some of the amazing teachers that I have had who made learning one, and owing to whom I was able to get some extraordinary grades and get into one of the most prestigious universities of the country. Inspired by those same teachers, I am to be like one of them - who never gives up on her students and always believe in them!
5.00+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Let (xn) be a sequence of positive real numbers such that lim(x1/nn) = L < 1. Show that there exists a number r with 0 < r < 1 such that 0 < xn < rn for all sufficiently large n N. Use this to show...
-
Prove that if (an is convergent series of positive terms then (In (1 + an) converges?
-
Prove that if an is a conditionally convergent series and r is any real number, then there is a rearrangement of an whose sum is
-
Ronnie owns 600 shares of a stock mutual fund. This year he received dividend distributions of 60 stock mutual fund shares ($ 40 per share) and long term capital gain distributions of 45 stock mutual...
-
With regard to differences tests, briefly define and describe each of the following: a. Null hypothesis b. Sampling distribution c. Significant difference
-
Do you think that satisfying needs is an appropriate basis on which to catalogue the international hospitality industry?
-
e12A. Whatfeatures in financial statements wouldyou look for to identify a firmas a growth company?
-
1. Why did Mayer lose this case? 2. According to the Court, under what circumstances might a plaintiff conceivably have an actionable claim involving a sports event gone wrong? 3. To some extent, the...
-
Units sold 10,000 Selling price $200 per unit Variable costs $110 per unit Total fixed costs $200,000 Tax rate 40% 9. How many units have to be sold in order to earn an aftertax net income of...
-
Male koalas bellow during the breeding season, but do females pay attention? Charlton et al. (2012) measured responses of estrous female koalas to playbacks of bellows that had been modified on the...
-
In Exercises (a) Find the common ratio of the geometric series (b) Write the function that gives the sum of the series (c) Use a graphing utility to graph the function and the partial sums S 3 and S...
-
Find the sum of the series In|1 n=2 -19 2 n
-
Consider a transverse electromagnetic wave mode propagating in an unmagnetized, partially ionized gas in which the electron-neutral collision frequency is e . Include the effects of collisions in...
-
Q3. (a) Sketch and name the road structure layers including the bituminous coating layers. State the material's CBR value and the degree of compaction (DOC) for each road layer required by road works...
-
2. Justify the following in terms of impulse and momentum: a. Why are padded dashboards safer in automobiles?
-
The kidneys are an essential organ to regulating blood pressure in the cardiovascular system. Renal epithelial cells feature cilia on their surface, which allows them to sense blood flow in the...
-
Novak Corp. supplies its customers with high-quality canvas tents. These canvas tents sell for $170 each, with the following DM and DL usage and price expectations. Direct materials 9 square yards...
-
Develop a one-week schedule for your Housekeeping employees. Using the Excel spreadsheet that is attached above, you will prepare a schedule for the week The day-by-day occupied rooms forecast has...
-
An activities aide worked at a private, for-profit nursing home. Her job responsibilities included reading newspapers to residents, playing games with them, performing a nondenominational devotional...
-
Software Solution is family-owned business that has been in operation for more than 15 year. The board of directors is comprised of mainly family members, plus a few professionals such as an...
-
In problem, the function f is one-to-one. Find its inverse and check your answer. f(x)
-
A zero-coupon bond can be redeemed in 20 years for $10,000. How much should you be willing to pay for it now if you want a return of: (a) 10% compounded monthly? (b) 10% compounded continuously?...
-
In problem, use a graphing utility to solve each equation. Express your answer rounded to two decimal places. e x = -x
-
Chapter o Homew ebook 50,000-unit production quantity: $ 227,049 7 70,000-unit production quantity: $ 66,751 d. In addition to mean profit, what other factors should FTC consider in determining a...
-
Diamond makes downhill ski equipment. Assume that comic has offered to produce ski poles for Diamond for $20 per pair Diamond needs 200,000 pairs of poles per period Diamond can only avoid 5150,000...
-
17? Which of the following statement is true Select one: a. All evidence must have the same level of reliability b. All evidence must have the same level of persuasiveness C. All are false d....
Study smarter with the SolutionInn App