Question

Input the greatest number $x \in \mathbb{Z}$ inside the interval of convergence of the series \begin{equation} \sum_{n=0}^{\infty} (-1)^{n+6} \left( \frac{n-4}{n+5} \right)^{n^2} \frac{x^n}{(52.5)^n} \end{equation} Answer:

          Input the greatest number $x \in \mathbb{Z}$ inside the interval of convergence of the series \begin{equation*} \sum_{n=0}^{\infty} (-1)^{n+6} \left( \frac{n-4}{n+5} \right)^{n^2} \frac{x^n}{(52.5)^n} \end{equation*} Answer:

Input the greatest number x ∈ℤ inside the interval of convergence of the series
∑n=0^∞ (-1)^n+6( (n-4)/(n+5))^n^2(x^n)/((52.5)^n)
Answer:

Added by Christina A.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Andrew Noble

04/27/2022

Step 1

The ratio test states that for a series ∑ a_n, if lim |a_(n+1)/a_n| = L, then the series converges if L < 1 and diverges if L > 1. The radius of convergence is given by R = 1/L. In this case, we have a_n = Show more…

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Input the greatest number xinZ inside the interval of convergence of the series sum_(n=0)^(infty ) (-1)^(n+6)((n-4)/(n+5))^(n^(2))(x^(n))/((52.5)^(n)). Answer: Input the greatest number c E Z inside the interval of convergence of the series -1)n+6( n+5 272 (52.5 Answer: