The ratio test or the value of the ratio {eq}\; (L) \; {/eq} is a unique tool to deal with the convergence or divergence of a series. If the value of {eq}\; L <1 \; {/eq} then the series is said to be con...
Find the interval of convergence for the power series \sum_{n=2}^{\infty}\frac{(x-7)^n}{3n} (Give your answer as an interval) Find the interval of convergence for the power series {(-1)^n*(5x-1)^n}/{n times 15^n} from ...
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 ...
百度试题 结果1 题目Find the radius of convergence of the power series where. 相关知识点: 试题来源: 解析 a=0b_nz^n11 反馈 收藏
Answer to: Find the interval of convergence of the series \sum \frac{(x-2)^n}{n3^n}. By signing up, you'll get thousands of step-by-step solutions...
百度试题 结果1 题目Find the radius of convergence of the power series, where c>0 and k is a positive integer. 相关知识点: 试题来源: 解析 R=c 反馈 收藏
百度试题 结果1 题目 Find the radius of convergence of the power series where. 相关知识点: 试题来源: 解析 反馈 收藏
Find the radius of convergence and interval of convergence of the series. {eq}\sum_{n=1}^{\infty}\frac{(2x-1)^n}{5^n\sqrt{n}} {/eq} Radius and Interval of Convergence of the series: The radius of convergence of the series signifies the radius o...
))(((-1)^nx^(2n+1))((2n+1)!))=limlimits_(x→∞)(x^2)((2n+3)(2n+2)).For anyfixed value of x, this limit is 0. So, by the Ratio Test, the series converges for all x. Therefore, the radius of convergence is R= ∞.反馈 收藏 ...
题目Use the Root Test to find the interval of convergence of the power series ∑limits _(n=1)^(∞ ) (nx^n)(5^n). If needed, you may use the fact limlimits _(n→ ∞ )n^(1/n )=1without proving it. 相关知识点: 试题来源: ...