微积分的知识问题:Radius and interval of convergence 半径与间隔聚集 题目是“1.find radius and interval of convergence of series .2.find radius and interval of convergence of series .“由于题不好打,我写在纸上了:就是那些我写why的地方我实在是不知道如何解得.因为我课没听好,星期二就考试了, 答案...
Find the interval of convergence of the series. ∑n=1∞n4(x−8)n The nth term of the given series is: ...Become a member and unlock all Study Answers Start today. Try it now Create an account Ask a question Our experts can answer your tough homework and study ques...
Power Series:A power series is an infinite series of the form ∑n=0∞anxn. Power series may converge for some values of x and diverge for others. The values for which the power series converges is called the interval of convergence. The radius of convergence ...
结果1 题目 Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval.)∑limits_(n=0)^∞(x^(3n+1))((3n+1)!) 相关知识点: 试题来源: 解析 (-∞,∞) 反馈 收藏 ...
Answer to: For the following series, find the interval of convergence: \sum_{n=1}^{\infty} \dfrac{(3x-2)^n}{2}. By signing up, you'll get thousands...
【题目】Find the radius of convergence and interval of convergence$$ \sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \frac { n ^ { 2 } x ^ { n } } { 2 ^ { n } } $$ 相关知识点: 试题来源: 解析 【解析】 If$$ I f a _ { n } = ( - 1 ) ^ { n } \...
Find the interval of convergence of the following power series. {eq}\sum_{k = 0}^{\infty} \frac{2^k \, (x - 3)^k}{k^2} {/eq} Interval of Convergence for a Power Series; Interval of convergence for a power series is a set, where all values of th...
Answer to: Find the radius of convergence, R, of the series. \sum_{n=1}^{n} n!(8x - 1)^n Find the interval, I, of convergence of the series. By...
百度试题 结果1 题目Find the interval of convergence for the series ∑limits _(n=1)^(∞ ) ((x-2)^n)(n ). 相关知识点: 试题来源: 解析 [1,3) 反馈 收藏
Convergence of Power Series by Ratio Test: Every power series has a radius of convergence. It can be found in the following way- If {eq}\sum\limits_{n=0}^{\infty}a_nx^n {/eq} is a power series of real number such that {eq}\lim\limits_{n \to \infty}\left| \frac...