Answer Happy

Posted: **Thu Jul 14, 2022 4:45 pm**

: If F X N 0 Cn X A 2n 1 Has The Property That N Lim Cn X A 2n 1 Cn 1 X A 2n 3 X 1 2n Lim N2 13n Then W 1 (45.38 KiB) Viewed 36 times

If f(x)=n=0∑∞Cn(x−a)2n+1 has the property that n→∞lim∣Cn(x−a)2n+1∣∣∣Cn+1(x−a)2n+3∣∣=∣x−1∣2n→∞limn2+13n, then what is the radius of convergence for the power series.

Answer Happy

If f(x)=n=0∑∞​Cn​(x−a)2n+1 has the property that n→∞lim​∣Cn​(x−a)2n+1∣∣∣​Cn+1​(x−a)2n+3∣∣​​=∣x−1∣2n→∞lim​n2+13n​, then w

If f(x)=n=0∑∞​Cn​(x−a)2n+1 has the property that n→∞lim​∣Cn​(x−a)2n+1∣∣∣​Cn+1​(x−a)2n+3∣∣​​=∣x−1∣2n→∞lim​n2+13n​, then w

If f(x)=n=0∑∞Cn(x−a)2n+1 has the property that n→∞lim∣Cn(x−a)2n+1∣∣∣Cn+1(x−a)2n+3∣∣=∣x−1∣2n→∞limn2+13n, then w

If f(x)=n=0∑∞Cn(x−a)2n+1 has the property that n→∞lim∣Cn(x−a)2n+1∣∣∣Cn+1(x−a)2n+3∣∣=∣x−1∣2n→∞limn2+13n, then w