2003年7月14日 · Most importantly, the series/sequence distinction makes no difference to the conclusion I was attempting to draw. The conclusion is a bit heretical, so the reviewer apparently took the terminological dispute as a reason to reject a conclusion s/he didn't agree with.

2025年2月28日 · Then one might ask, if we are given a sequence of trig polynomials, when does there exist a function f such that this sequence is the sequence of Fourier polynomials for f. One necessary condition would be that given any two polynomials T_N and T_M in the sequence with N<M, the polynomial T_M must have the same coefficients as T_N up through ...

2012年6月22日 · The consecutive heights which the ball attains form a geometric series with first term a=1 and common ratio 0.9. Using the formula for the sum to infinity of the series, I am left with S = a/(1-r) = 1/0.1 = 10 metres However, the answer given is 19 metres. I don't understand how to get to this answer, is this just a typo?

2011年3月14日 · Remember that for a series to converge the nth term necessarily must go to zero. (The converse is not true in general - a series whose nth term goes to zero does not necessarily converge.) Looking at the the nth term of e 1/n as n goes to infinity, you see it is equal to 1, which means this series diverges.

2012年3月31日 · A sequence {a_n} converges to a number L if for each epsilon > 0 there exists a positive integer N such that |a_n-L| < epsilon for all n ≥ N. The number L is called the limit of the sequence. The sequence {a_n} converges iuf there exists a number L such that {a_n} converges to L. The sequence {x_n} diverges if it does not converge.

2014年4月9日 · Heat Heat transfer Parallel Series Apr 9, 2014 #1 gfd43tg. Gold Member. 950 49. Hello, In heat transfer ...

2012年5月20日 · Note that to say the sequence is bounded if the range is bounded is the same thing in this case. Nothing new beyond definitions is said here. However, interesting and new things regarding the convergence of a sequence can be said if the sequence is bounded.

2022年3月1日 · The first few numbers of the Fibonacci sequence are 1, 1, 2, 3, 5, 8, 13 … Your solution must also include an assembly 'main' program that accepts an integer from the user less than or equal to 45. Call the fib function and print the results.

2012年4月1日 · Homework Statement You have two 120V light bulbs, one 25W and one 100W, that are normally connected in parallel with 120V across each. Your friend had what seemed like a good idea which was to connect them in series across a 240V power line. However, one of them burned out immediately. Which...

2012年4月26日 · The alternating series test is used for SERIES---that is, for a series where the sequence of terms is alternating in sign. If you really mean the sequence {(-1)^n/(2n)}, then that converges because the terms --> 0 as n --> ∞. (The series Ʃ(-1)^n/(2n) also converges, by the "alternating series test"---but that is a totally different question ...