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{SECT 0 {EXCHG {PARA 18 "" 0 "" {TEXT -1 35 "An Animation on a converg
ent series" }}{PARA 19 "" 0 "" {TEXT -1 17 "Dr. Yang, Wei-Chi" }}
{PARA 258 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT -1 233 "Object
ive: We shall use animation with \"partial sums\" of a series to simul
ate the behaviour of a convergent series. Briefly, if a series is conv
ergent, it's partial sum will be bounded. HOWEVER, a series maybe dive
rgent very slowly. " }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "> " 0 
"" {MPLTEXT 1 0 36 "F:=proc(m) sum(1/(K^2), K=1..m) end;" }}{PARA 11 "
" 1 "" {XPPMATH 20 "6#>%\"FGR6#%\"mG6\"F(F(-%$sumG6$*$%\"KG!\"#/F-;\"
\"\"9$F(F(6\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 12 "with(plots
):" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "for q from 30 by 1 to
 50 do " }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 49 "P.q:= plot (\{Pi^2/6,F(q
)\},x=0..100, style=POINT):" }}{PARA 0 "> " 0 "" {MPLTEXT 1 0 3 "od:" 
}}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 54 "plots[display]([seq(P.k, \+
k=30..50)], insequence=true);" }}{PARA 13 "" 1 "" {GLPLOT2D 304 304 
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