Use the Ratio Test to find the radius of convergence.The ratio is ((x-7)^(n+1))(3^(n+1)(n+3)^4)⋅ (3^n(n+2)^4)((x-7)^n) = ( (n+2)(n+3))^4⋅ (x-7)3 . Find the limit: lim limits_(x→∞) ( (n+2)(n+3))^4⋅ (x-7)3 = (x-7)3 . So for...
结果1 题目 If the radius of convergence of the power series is 10, what is the radius of convergence of the series ? Why? 相关知识点: 试题来源: 解析 If has radius of convergence 10, then also has radius of convergence 10 by Theorem. 反馈 收藏 ...
Question: Consider the seriesf(x)=∑n=1∞64nx3nn(i) What is the radius of convergence of this series?Write the letter i if the radius is infinite.(ii) Find the series expansion, centered at x=0, for the derivative...
In the case of (b) and (c), can you conclude anything Suppose \sum_{n=0}^\infty c_n(x-1)^n is a power series with the radius of convergence R . What can you say about the convergence of divergence of the series \sum_{...
What is Z Transform - What is Z-Transform?The Z-transform (ZT) is a mathematical tool which is used to convert the difference equations in time domain into the algebraic equations in z-domain.The Z-transform is a very useful tool in the analysis of a lin
Emmanuel remarks that he isn't concerned with the radius of convergence of the Taylor series. I don't know why. My intuition confused by the fact that the Taylor series expansion in alpha makes no (overt) assumption that alpha is small. Yet deriving seems to depend delicately on making (...
Clustering in data mining is used to group a set of objects into clusters based on the similarity between them. With this blog learn about its methods and applications.
This paper proposes a 3D face alignment of 2D face images in the wild with noisy landmarks. The objective is to recognize individuals from their single pro
On the radius of convergence of interconnected analytic nonlinear systems A complete analysis is presented of the radius of convergence of the cascade connection of two SISO analytic nonlinear input-output systems represented as ... M Thitsa,WS Gray - IEEE 被引量: 34发表: 2011年 The effect of...
The range of messages encoded in the hyena's laugh is likely to play a role during social interactions. This call, together with other vocalizations and other sensory channels, should ensure an array of communication signals that support the complex social system of the spotted hyena. Experimental...