Image: SlantAsymptoteError

Description: The function f(x)=x2+x+1x+1{\displaystyle f(x)={\frac {x^{2}+x+1}{x+1}}} is in black, the asymptote y=x{\displaystyle y=x} in red and the error between them in green. Based on the raster image w:File: SlantAsymptoteError.jpg. File created in maxima. f(x) := x + (x+1)^-1; load(draw); draw2d(terminal=svg,file_name="SlantAsymptoteError", color=black,font="Times", user_preamble="set termoption enhanced; set mxtics; set mytics;set key at 5.5,7", xtics_axis=true,ytics_axis=true,grid=true,yrange=[-1,7], xaxis=true,yaxis=true,axis_top=false,axis_bottom=false,axis_left=false,axis_right=false, line_width=2,label(["x",7,0.2],["y",0.2,7]), color=black,key="f(x) = x + (x+1)^{-1}",explicit( f(x) ,x,-1,7), color=red,key="asymptote",explicit(x,x,-1,7), color=green,points_joined=true,key="", points([1,1],[1,f(1)]),points([2,2],[2,f(2)]),points([3,3],[3,f(3)]), points([4,4],[4,f(4)]),points([5,5],[5,f(5)]),key="error",points([6,6],[6,f(6)]) );
Title: SlantAsymptoteError
Credit: Own work
Author: Krishnavedala
Usage Terms: Creative Commons Attribution-Share Alike 3.0
License: CC BY-SA 3.0
License Link: https://creativecommons.org/licenses/by-sa/3.0
Attribution Required?: Yes