I want to recreate the following table on latex

Here is my MWE

documentclassarticle 
usepackagecolortbl

begindocument
begintable[h]
 begintabularm1cm
 hline
 footnotesize $x$ & 0.900 & 0.990 & 0.999 & 1.000 & 1.001 & 1.010 & 1.100 \ hline
 footnotesize $f(x)$ & 1.810 & 1.980 & 1.998 & 2.000 & 2.002 & 2.020 & 2.210 \ hline
 endtabular
 endtable
enddocument 

You can draw with TikZ.

documentclass[tikz,border=5mm]standalone
% put a row of 8 elements
newcommandputrow[9]
path (0,#1) node#2
++(0:1) node#3 ++(0:1) node#4
++(0:1) node#5 ++(0:1) node#6 
++(0:1) node#7 ++(0:1) node#8 ++(0:1) node#9;


begindocument
begintikzpicture[xscale=1.4,yscale=.6]
beginscope[shift=(-.5,.5)]
fill[cyan!30] (0,0) rectangle +(1,-2);
draw (0,0) grid (8,-2);
endscope
beginscope[-stealth,magenta,shorten >=.5pt,
every node/.style=midway,scale=.8]
draw[shift=(90:1)] (1,0)--(4,0) node[above]$x$ approaches $1$;
draw[shift=(90:1)] (7,0)--(4,0) node[above]$x$ approaches $1$;
draw[shift=(-90:2)] (1,0)--(4,0) node[below]$f(x)$ approaches $2$;
draw[shift=(-90:2)] (7,0)--(4,0) node[below]$f(x)$ approaches $2$;
endscope

putrow0$x$0.9000.9900.9991.0001.0011.0101.100
putrow-1$f(x)$1.8101.9801.9982.0002.0022.0202.210
endtikzpicture
enddocument

Also with tikz, but now with use of the matrix library. For arrows, edge labels are employed arrows.meta and quoted libraries:

documentclass[tikz,border=5mm]standalone
usetikzlibraryarrows.meta,
 matrix,
 quotes
 

begindocument
 begintikzpicture[
every edge/.style = draw, purple, -Straight Barb[angle=60:2pt 3], semithick, shorten >=1pt,
every edge quoetes/.style = font=footnotesize
 ]
matrix (m) [matrix of math nodes,
 nodes = draw, minimum height=4ex, minimum width=3.3em, 
 inner sep=0pt, outer sep=0pt, anchor=center,
 column sep=-pgflinewidth,
 row sep=-pgflinewidth,
 column 1/.append style = nodes=fill=cyan!30
 ]

 x & 0.900 & 0.990 & 0.999 & 1.000 & 1.001 & 1.010 & 1.100 \ 
f(x) & 1.810 & 1.980 & 1.998 & 2.000 & 2.002 & 2.020 & 2.210 \
;
draw (m-1-2.north |- m.north) edge["$x$ approaches $1$"] (m-1-5.north |- m.north)
 (m-1-8.north |- m.north) edge["$f(x)$ approaches $1$" '] (m-1-5.north |- m.north)
 (m-1-2.south |- m.south) edge["$x$ approaches $2$" '] (m-1-5.north |- m.south)
 (m-1-8.south |- m.south) edge["$f(x)$ approaches $2$"] (m-1-5.north |- m.south);
 endtikzpicture
enddocument

I wrote two macros that automatically place the arrow above the path and the text above the arrow or below depending on whether the path goes from left to right or not: valeur and fromto.

How does it work?

This is done without any positioning tests, but using the properties of the rotations
This avoids using 4 options that are de facto useless:

• 2 for the placement of the arrows (up or down)


• as well as 2 options for the placement of the text relative to these arrows (above and below).

Rotations

In geometry, a positive angle is an anti-clockwise rotation. A negative angle is a clockwise rotation.

From LEFT to RIGHT

When the path goes from left to right (i.e. from point A to point B), the points located 5mm from each other are rotated as shown in this figure. This builds a new path 5 mm higher.

From RIGHT to LEFT

When the path goes from right to left (i.e. from point B to point A), the same is done as shown in this figure. This builds a new path 5 mm lower.

In each case, the first rotation is positive and the second negative. These rotations are performed with the calc library.
To place the text, I use the auto=left option which allows me to always place the text on the same side of a path.

The two macros:

1. 
   

   The first called valeur place is a TikZ node centered on the number from which you want to start or arrive the arrow;

   
   
   

   newcommandvaleur[2]
    tikz[remember picture] node[inner sep=0pt,anchor=center](#1)#2;

   
   
   

   It has two arguments:

   
   
   
   • the first #1 is the name we give to the node
   
   
   • the second #2 is the value of this node.
   
   


2. 
   

   the second one called fromto draw an arrow above or below the path:

   
   
   
   • if the arrow is placed above the path, the text is also placed above the arrow;
   
   
   • otherwise, if the arrow is placed below the path, the text is placed below the arrow.
   
   

The principle is the following: if the path goes from left to right, the arrow and the text are placed above the path, otherwise it is placed below.

This macro has 4 arguments:

• the first one #1 is optional and allows to transmit options to the path < options>
  


• the second #2 is the starting point < from>
  


• the third #3 is the arrival point < to>
  


• 
  

  the fourth #4 is the text to be positioned < text>

  
  
  
  

  newcommandfromto4
  tikz[remember picture,overlay,auto=left,>=Stealth[length=5pt, inset=1pt,sep]]
   path[draw=myviolet,thick,#1]
   ($(#2.center)!5mm!90:(#3.center)$)--($(#3.center)!5mm!-90:(#2.center)$)node[midway,myviolet,font=bf]#4;

  
  

For example:

documentclassarticle 
usepackagetikz
usetikzlibrarycalc,arrows.meta

newcommandvaleur[2]
 tikz[remember picture] node[inner sep=0pt,anchor=center](#1)#2;
newcommandfromto[4][]
tikz[remember picture,overlay,auto=left,>=Stealth[length=5pt, inset=1pt,sep]]
 path[draw,thick,#1]($(#2.center)!5mm!90:(#3.center)$)--($(#3.center)!5mm!-90:(#2.center)$)node[midway]#4;

begindocument

 begintikzpicture[remember picture]
 node[] (A)at(0,0)A;
 node[] (B) at (8,0)B;
 draw[densely dotted](A)--(B)node[midway,fill=white]path from A to B;
 endtikzpicture

fromto[align=center,dashed,->,blue] ABfrom A to B:\ the arrow is textbfabove the path A--B \ the text is textbfabove the arrow
fromto[align=center,dashed,->,red] BAfrom B to A:\ line arrow is textbfbelow the path A--B,\ the text is textbfbelow the arrow

enddocument

Code and result (to be compile twice):

documentclassarticle 
usepackagecolortbl
usepackagetikz
definecolormyvioletRGB243,29,143
usetikzlibrarycalc,arrows.meta

newcommandvaleur[2]
 tikz[remember picture] node[inner sep=0pt,anchor=center](#1)#2;
newcommandfromto[4][]
tikz[remember picture,overlay,auto=left,>=Stealth[length=5pt, inset=1pt,sep]]
 path[draw=myviolet,thick,#1]
 ($(#2.center)!5mm!90:(#3.center)$)--($(#3.center)!5mm!-90:(#2.center)$)node[midway,myviolet,font=bf]#4;

begindocument
begintable[h]
 begintabularm1cm
 hline
 footnotesize $x$ & valeura10.900 & 0.990 & 0.999 & valeurb11.000 & 1.001 & 1.010 & valeurc11.100 \ hline
 footnotesize $f(x)$ & valeura21.810 & 1.980 & 1.998 & valeurb22.000 & 2.002 & 2.020 & valeurc22.210 \ hline
 endtabular
 endtable

fromto[->] a1b1$x$ approaches 1.
fromto[<-] b1c1$x$ approaches 1.
fromto[<-] b2a2$f(x)$ approaches 2.
fromto[->] c2b2$f(x)$ approaches 2.

enddocument

Translated with www.DeepL.com/Translator