var string1
var string2
var string3
var string4
var string5
var string6
var string7
var string8
var endString ="\\end{array}$"
var string0 = string1+endString
var string00 = string1+endString

function writeEqn1(){
     string1 = "$\\begin{array}{rcl}\\lim_{x\\rightarrow 2+}\\,\\frac{f(x)-f(2)}{x-2}\\,&=&\\altLink{\\lim_{x\\rightarrow 2+}\\,\\frac{|x^2-4|-|4-4|}{x-2}}{Step 1.}\\\\"
     string2 = "&=&\\altLink{\\lim_{x\\rightarrow 2+}\\,\\frac{x^2-4}{x-2}\\; \\mbox{ since } x>2}{Step 2.}\\\\"
     string3 = "&=&\\altLink{\\lim_{x\\rightarrow 2+}\\,\\frac{(x-2)(x+2)}{x-2}}{Step 3.}\\\\"
     string4 = "&=&\\altLink{\\lim_{x\\rightarrow 2+}\\,x+2\\,}{Step 4.}\\\\&=&\\altLink{\\,4}{Step 5.}\\\\"
     string0 = string1+string2+string3+string4+endString
}
function writeEqn2(){
     string5 = "$\\begin{array}{rcl}\\lim_{x\\rightarrow 2-}\\,\\frac{f(x)-f(2)}{x-2}\\,&=&\\altLink{\\lim_{x\\rightarrow 2-}\\,\\frac{|x^2-4|-|4-4|}{x-2}}{Step 1.}\\\\"
     string6 = "&=&\\altLink{\\lim_{x\\rightarrow 2-}\\,\\frac{-(x^2-4)}{x-2}\\; \\mbox{ since } x<2}{Step 2.}\\\\"
     string7 = "&=&\\altLink{\\lim_{x\\rightarrow 2-}\\,\\frac{-(x-2)(x+2)}{x-2}}{Step 3.}\\\\"
     string8 = "&=&\\altLink{\\lim_{x\\rightarrow 2-}\\,-(x+2)\\,}{Step 4.}\\\\&=&\\altLink{\\,-4}{Step 5.}\\\\"
     string00 = string5+string6+string7+string8+endString
}