.MCAD 304020000 1 71 278 0
.CMD PLOTFORMAT
0 0 1 1 1 0 0 1 1 
0 0 1 1 1 0 0 1 1 
0 1 0 0 1 1 NO-TRACE-STRING
0 2 1 0 1 1 NO-TRACE-STRING
0 3 2 0 1 1 NO-TRACE-STRING
0 4 3 0 1 1 NO-TRACE-STRING
0 1 4 0 1 1 NO-TRACE-STRING
0 2 5 0 1 1 NO-TRACE-STRING
0 3 6 0 1 1 NO-TRACE-STRING
0 4 0 0 1 1 NO-TRACE-STRING
0 1 1 0 1 1 NO-TRACE-STRING
0 2 2 0 1 1 NO-TRACE-STRING
0 3 3 0 1 1 NO-TRACE-STRING
0 4 4 0 1 1 NO-TRACE-STRING
0 1 5 0 1 1 NO-TRACE-STRING
0 2 6 0 1 1 NO-TRACE-STRING
0 3 0 0 1 1 NO-TRACE-STRING
0 4 1 0 1 1 NO-TRACE-STRING
0 1 1 21 15 0 0 3 
.CMD FORMAT  rd=d ct=10 im=i et=3 zt=15 pr=8 mass length time charge temperature tr=0 vm=0
.CMD SET ORIGIN 0
.CMD SET TOL 0.001000000000000
.CMD SET PRNCOLWIDTH 8
.CMD SET PRNPRECISION 4
.CMD PRINT_SETUP 1.200000 1.218750 1.200000 1.200000 0
.CMD HEADER_FOOTER 1 1 *empty* *empty* *empty* 0 1 *empty* *empty* *empty*
.CMD HEADER_FOOTER_FONT fontID=14 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD HEADER_FOOTER_FONT fontID=15 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFAULT_TEXT_PARPROPS 0 0 0
.CMD DEFINE_FONTSTYLE_NAME fontID=0 name=Variables
.CMD DEFINE_FONTSTYLE_NAME fontID=1 name=Constants
.CMD DEFINE_FONTSTYLE_NAME fontID=2 name=Text
.CMD DEFINE_FONTSTYLE_NAME fontID=4 name=User^1
.CMD DEFINE_FONTSTYLE_NAME fontID=5 name=User^2
.CMD DEFINE_FONTSTYLE_NAME fontID=6 name=User^3
.CMD DEFINE_FONTSTYLE_NAME fontID=7 name=User^4
.CMD DEFINE_FONTSTYLE_NAME fontID=8 name=User^5
.CMD DEFINE_FONTSTYLE_NAME fontID=9 name=User^6
.CMD DEFINE_FONTSTYLE_NAME fontID=10 name=User^7
.CMD DEFINE_FONTSTYLE fontID=0 family=Times^New^Roman points=14 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=1 family=Times^New^Roman points=14 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=2 family=Arial points=14 bold=0 italic=0 underline=0 colrid=1
.CMD DEFINE_FONTSTYLE fontID=4 family=Arial points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=5 family=Courier^New points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=6 family=System points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=7 family=Script points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=8 family=Roman points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=9 family=Modern points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD DEFINE_FONTSTYLE fontID=10 family=Times^New^Roman points=10 bold=0 italic=0 underline=0 colrid=-1
.CMD UNITS U=1
.CMD DIMENSIONS_ANALYSIS 0 0
.CMD COLORTAB_ENTRY 0 0 0
.CMD COLORTAB_ENTRY 128 0 0
.CMD COLORTAB_ENTRY 0 128 0
.CMD COLORTAB_ENTRY 128 128 0
.CMD COLORTAB_ENTRY 0 0 128
.CMD COLORTAB_ENTRY 128 0 128
.CMD COLORTAB_ENTRY 0 128 128
.CMD COLORTAB_ENTRY 128 128 128
.CMD COLORTAB_ENTRY 192 192 192
.CMD COLORTAB_ENTRY 255 0 0
.CMD COLORTAB_ENTRY 0 255 0
.CMD COLORTAB_ENTRY 255 255 0
.CMD COLORTAB_ENTRY 0 0 255
.CMD COLORTAB_ENTRY 255 0 255
.CMD COLORTAB_ENTRY 0 255 255
.CMD COLORTAB_ENTRY 255 255 255
.CMD COLORTAB_ENTRY 10 36 106
.TXT 4 15 164 0 0
Cg a63.000000,63.000000,17
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs28 \pard {\fs36 Estimating Limits}}
.TXT 5 -12 179 0 0
Cg a66.000000,66.000000,89
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs28 \pard You want to determine which number 
(if any)  f(x) approaches if x approaches the number a}
.TXT 6 0 223 0 0
Cg a71.000000,71.000000,55
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs28 \pard Change the formulas and values in 
the highlighted boxes}
.EQN 6 21 224 0 1
{0:a}NAME:1
.EQN 1 -21 225 0 1
{0:f}NAME({0:x}NAME):(\({0:x}NAME)-1)/({0:x}NAME-1)
.TXT 6 0 189 0 0
Cg a71.000000,71.000000,96
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs28 \pard d describes the increment when 
approaching a. Choose just a small numbers there (smaller than 1)}
.EQN 6 0 190 0 1
{0:d}NAME:0.001
.TXT 5 0 191 0 0
Cg a71.000000,71.000000,33
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs28 \pard 1) First we approach\par a from below}
.EQN 0 37 228 0 0
{0:a1}NAME:{0:a}NAME-10*{0:d}NAME
.EQN 0 17 229 0 0
{0:a2}NAME:{0:a}NAME-9*{0:d}NAME
.EQN 4 -15 227 0 0
{0:a9}NAME:{0:a}NAME-{0:d}NAME
.EQN 0 13 226 0 0
{0:x}NAME:{0:a1}NAME,{0:a2}NAME;{0:a9}NAME
.EQN 3 -35 200 0 0
{0:x}NAME=
.EQN 0 11 220 0 0
{0:f}NAME({0:x}NAME)=
.TXT 40 -27 203 0 0
Cg a70.000000,70.000000,34
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs28 \pard 2) Next, we approach \par a from above}
.EQN 0 35 232 0 0
{0:a1}NAME:{0:a}NAME+10*{0:d}NAME
.EQN 0 18 233 0 0
{0:a2}NAME:{0:a}NAME+9*{0:d}NAME
.EQN 4 -14 231 0 0
{0:a9}NAME:{0:a}NAME+{0:d}NAME
.EQN 0 13 230 0 0
{0:x}NAME:{0:a1}NAME,{0:a2}NAME;{0:a9}NAME
.EQN 4 -34 221 0 0
{0:x}NAME=
.EQN 0 10 222 0 0
{0:f}NAME({0:x}NAME)=
.TXT 36 -30 241 0 0
Cg a69.125000,69.125000,53
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs28 \pard 
_____________________________________________________}
.TXT 5 0 242 0 0
Cg a67.125000,67.125000,57
{\rtf\ansi \deff0{\colortbl;\red0\green0\blue0;}{\fonttbl{\f0\fcharset0
\fnil Arial;}}\plain\cf1\fs28 \pard Try also the following functions 
with the corresponding a}
.EQN 5 1 247 0 0
{0:f}NAME({0:x}NAME):(({0:x}NAME)^(2)-1)/({0:x}NAME-1)
.EQN 1 29 248 0 0
{0:a}NAME:1
.EQN 6 -29 278 0 0
{0:f}NAME({0:x}NAME):({0:x}NAME)^({0:x}NAME)
.EQN 0 28 277 0 0
{0:a}NAME:0
.EQN 7 -29 259 0 0
{0:f}NAME({0:x}NAME):({0:exp}NAME({0:x}NAME))/({0:x}NAME)
.EQN 0 30 260 0 0
{0:a}NAME:0
.EQN 7 1 251 0 0
{0:a}NAME:0
.EQN 1 -30 252 0 0
{0:f}NAME({0:x}NAME):({0:exp}NAME({0:x}NAME)-1)/(2*{0:x}NAME)
.EQN 7 0 255 0 0
{0:f}NAME({0:x}NAME):({0:ln}NAME({0:x}NAME))/({0:x}NAME-1)
.EQN 0 30 256 0 0
{0:a}NAME:1
.EQN 12 -30 268 0 0
{0:f}NAME({0:x}NAME):({0:ln}NAME({0:x}NAME+(1)/(2)))/(2*{0:x}NAME-1)
.EQN 0 30 269 0 0
{0:a}NAME:(1)/(2)