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{SECT 0 {EXCHG {PARA 256 "" 0 "" {TEXT -1 44 "Estimation and Limits --
 Limits as  x --> oo" }}{PARA 0 "" 0 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "
" {TEXT -1 95 "The following cell illustrates how Maple can be used to
 investigate the behavior of a function " }{TEXT 256 4 " f(x" }{TEXT 
-1 33 ")  for large positive values of  " }{TEXT 257 1 "x" }{TEXT -1 
35 "  and for large negative values of " }{TEXT 258 2 " x" }{TEXT -1 
4 ".   " }{TEXT 259 15 "Evaluate it now" }{TEXT -1 23 ".  Notice the u
se of   " }{TEXT 260 5 "evalf" }{TEXT -1 57 "   to force Maple to comp
ute decimal answers.  Without   " }{TEXT 261 5 "evalf" }{TEXT -1 160 "
   the computations below would be carried out using exact rational ar
ithmetic, which for our present purpose is less useful than approximat
e decimal arithmetic" }}{PARA 0 "" 0 "" {TEXT -1 1 "." }}}{EXCHG 
{PARA 0 "> " 0 "" {MPLTEXT 1 0 128 "f := x -> (3 + 2^x)/(1 + 3^x):\n\n
plot(f(x), x=-10..10);\n\nevalf(f(0));\nevalf(f(10));\nevalf(f(100));
\nevalf(f(-10));\nevalf(f(-100));" }}}}{MARK "1 0 0" 113 }{VIEWOPTS 1 
1 0 1 1 1803 }