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| Keywords: LogTay.svg validSVG The log x+1 and Taylor approximations of degree 4 7 11 16 Note that for x > 1 the successive approximations grow worse Own 2008-03-04 Niles Public domain Instructions Created with gnuplot using the following code <pre> set terminal svg \ size 1000 1000 \ fixed enhanced \ fname 'Times New Roman' \ fsize 32 set output LogTay svg set samples 2000 set autoscale fix set xrange -1 5 1 5 set yrange -4 2 set grid set xtics 5 set ytics 5 set xzeroaxis linewidth 2 5 set yzeroaxis linewidth 2 5 set key -0 1 1 75 unset border plot x - x 2/2 + x 3/3 - x 4/4 lw 2 title T_4 \ x - x 2/2 + x 3/3 - x 4/4 + x 5/5 - x 6/6 + x 7/7 lw 2 title T_7 \ x - x 2/2 + x 3/3 - x 4/4 + x 5/5 - x 6/6 + x 7/7 -x 8/8 + \ x 9/9 - x 10/10 + x 11/11 lw 2 title T_ 11 \ x - x 2/2 + x 3/3 - x 4/4 + x 5/5 - x 6/6 + x 7/7 -x 8/8 + \ x 9/9 - x 10/10 + x 11/11 - x 12/12 + x 13/13-x 14/14 + \ x 15/15 - x 16/16 lw 2 title T_ 16 \ log 1+x lw 3 lt 7 </pre> Taylor_series Images with Gnuplot source code | ||||
