2003年7月14日 · FAQ: Series vs Sequence: Math Concepts Explained What is the difference between a series and a sequence? A series is a sum of terms in a sequence, while a sequence is an ordered list of numbers or objects.

2012年7月22日 · So sum from n=1 to infinity e/n = e*sum from n=1 to infinity 1/n. sum from n=1 to infinity 1/n is divergent because this is a p-series with n^p where p = 1. For p <= 1 the series is divergent.) Since either both an and bn are convergent or both are divergent, an must be divergent as bn is divergent.

2007年4月12日 · You keep talking about *the* maximum as if there is only one maximal value at play here. Surely you mean on for each f_n. f is a function. f does not converge. I repeat: a sequence converges (or diverges). A function does not. Stop writing f when you mean a sequence f_n, and be clearer with what has a maximum (or sup for preference).

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.

2025年1月11日 · Homework Statement: Are two copper bars on top of each other parallel or series? Relevant Equations: R_S = R1 + R2 R_P = (1/R1 + 1/R2)^(-1) This is a THEORETICAL thought exercise ONLY to help in understanding the concept of parallel vs series. If I were to have a copper bar of uniform density as a conductor.

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 · Additionally, we have mentioned the "r test" theorem for convergence of a series and the divergence of the series \sum 1/n due to the integral test. Lastly, we have addressed the potential circular argument involving ln(x) and the unboundedness of the sequence of partial sums for the series \sum 1/n.

2010年1月9日 · Determine if the series n=2 to inf. of 1/ln(n) converges or diverges Ok so first I tried the limit test (the simple one) and found that it was 0 which... Insights Blog -- Browse All Articles -- Physics Articles Physics Tutorials Physics Guides Physics FAQ Math Articles Math Tutorials Math Guides Math FAQ Education Articles Education Guides Bio ...

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?

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 ...