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{TEXT 257 8 "f(x) = 0" }{TEXT 258 3 ",  " }{TEXT 259 11 "h(x) = 1/3^" 
}{TEXT 260 1 "x" }{TEXT 261 0 "" }{TEXT 262 8 ",  and  " }{TEXT 263 
13 "g(x) = (cos (" }{TEXT 265 1 "x" }{TEXT 264 9 "))^2 / 3^" }{TEXT 
266 1 "x" }{TEXT 267 3 ".  " }{TEXT 268 66 "We graph them on the same \+
set of axes and inspect their graphs as " }{TEXT 270 2 "x " }{TEXT 
271 23 "gets larger and larger." }{TEXT 269 0 "" }}{PARA 0 "" 0 "" 
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" {TEXT 272 29 "Define the three expressions." }{TEXT -1 0 "" }}{PARA 
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%\"fG\"\"!" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%\"gG*&*$)-%$cosG6#%\"x
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" {MPLTEXT 1 0 136 "p1:= plot(f,x=0..7, linestyle=1, color=blue): p2:=
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{PARA 0 "" 0 "" {TEXT -1 30 "Look at what happens even for " }{TEXT 
275 1 "x" }{TEXT -1 57 " as small as 5 or 6.  Conjecture what must hap
pen to the " }{TEXT 276 1 "y" }{TEXT -1 30 "-coordinates of points on \+
the " }{TEXT 277 12 "green graph " }{TEXT 278 3 "as " }{TEXT 279 1 "x
" }{TEXT 280 24 " gets larger and larger." }}{PARA 0 "" 0 "" {TEXT -1 
0 "" }}{PARA 0 "" 0 "" {TEXT -1 44 "This leads to the so-called Squeez
e Theorem." }}}{PARA 11 "" 1 "" {TEXT -1 0 "" }}{PARA 0 "" 0 "" {TEXT 
273 0 "" }}}{MARK "6 2 0" 44 }{VIEWOPTS 1 1 0 1 1 1803 1 1 1 1 }
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