DOC PREVIEW
TAMU
MATH 152 -
power
View full document
Premium Document
Do you want full access? Go Premium and unlock all 3 pages.
Access to all documents
Download any document
Ad free experience
Unformatted text preview:
View Full Document
1 10.5: Power SeriesDefinition: A power series isGoal: Given a power series, determine the values of x for which the series is convergent (Known asthe interval of convergence)Result:Examples:Find the interval of convergence for∞Xn=0xn.1When finding the interval of convergence of a power series, there are 3 possible results:1.∞Xn=0cn(x − a)nconverges only when2.∞Xn=0cn(x − a)nconverges for3.∞Xn=0cn(x − a)nconverges onDefinition: The radius of convergence of a power seriesFind the radius and interval of convergence of∞Xn=0n!xn2Find the radius and interval of convergence of∞Xn=0x2n+1(2n + 1)!Find the radius and interval of convergence of∞Xn=0(x − 2)n√n + 1
View Full Document
Unlocking...