set term gif
set xlabel "N"
set ylabel "S(N)"
set title "Taylor expansion for e^2"
set output "plot2.gif"
plot [x=0:30] [0:10] "plot2.txt" using 1:2 title "S", '' using 1:3 title "Fractional Error" with lines
set title "Taylor expansion for e^10"
set output "plot10.gif"
plot [x=0:30] [0:25000] "plot10.txt" using 1:2 title "S", '' using 1:3 title "Fractional Error" with lines
set title "Taylor expansion for e^-2"
set output "plotneg2fixed.gif"
plot [x=0:30] [0:0.4] "plotneg2.txt" using 1:2 title "S", '' using 1:3 title "Fractional Error" with lines
set title "Taylor expansion for e^-10"
set output "plotneg10fixed.gif"
plot [x=0:30] [0:0.1] "plotneg10.txt" using 1:2 title "S", '' using 1:3 title "Fractional Error" with lines
set title "Fractional Error of Taylor Expansion for e^2"
set output "plot2err.gif"
set ylabel "Fractional Error (log scale)"
plot [x=0:30] [-40:0] "plot2.txt" using 1:(log($3)) title "ln((S-e^x)/e^x)"
set title "Fractional Error of Taylor Expansion for e^10"
set output "plot10err.gif"
set ylabel "Fractional Error (log scale)"
plot [x=0:30] [-20:1] "plot10.txt" using 1:(log($3)) title "ln((S-e^x)/e^x)"
set title "Fractional Error of Taylor Expansion for e^-2"
set output "plotneg2errfixed.gif"
set ylabel "Fractional Error (log scale)"
plot [x=0:30] [-40:10] "plotneg2.txt" using 1:(log($3)) title "ln((S-e^x)/e^x)"
set title "Fractional Error of Taylor Expansion for e^-10"
set output "plotneg10errfixed.gif"
set ylabel "Fractional Error (log scale)"
plot [x=0:30] [-20:10] "plotneg10.txt" using 1:(log($3)) title "ln((S-e^x)/e^x)"