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\ \   {  \displaystyle{ 1 \over  3^{ \displaystyle{x} } }   \over   \displaystyle{ 1 \over  3^{ \displaystyle{x} }  }  }       }  } \  \Big\}  $}\lthtmltypeout{latex2htmlSize :tex2html_wrap_inline758: \the\ht\sizebox::\the\dp\sizebox.}\box\sizebox
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\samepage \setbox\sizebox=\hbox{$ \displaystyle{   \lim_{x \to  \infty }  \; \; 
 {      \displaystyle{  5^{ \displaystyle{x} }   \over  3^{ \displaystyle{x} }  }
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\samepage \setbox\sizebox=\hbox{$ \displaystyle{   \lim_{x \to  \infty }  \; \;  {     
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\samepage \setbox\sizebox=\hbox{$ \displaystyle{     \lim_{x \to  \infty }  \; \; 
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\samepage \setbox\sizebox=\hbox{$ \displaystyle{     \lim_{x \to  \infty }  \; \; 
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\samepage \setbox\sizebox=\hbox{$ \displaystyle{     \lim_{x \to  \infty }  \; \; 
\{  \  9^{ \displaystyle{x} }  \  \{  \
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  {  9^{ \displaystyle{x} }  \over  9^{ \displaystyle{x} }    }   \
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\samepage \setbox\sizebox=\hbox{$ \displaystyle{     \lim_{x \to  \infty }  \; \; 
\{  \   9^{ \displaystyle{x} }  \   \{  \
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 + 1  \ 
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\samepage \setbox\sizebox=\hbox{$ \displaystyle{     \lim_{x \to  \infty }  \; \; 
\{  \   9^{ \displaystyle{x} }  \   \{  \
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 + 1  \ 
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\samepage \setbox\sizebox=\hbox{$ \displaystyle{     \lim_{x \to  \infty }  \; \; 
\{  \   \{  \        { 9^{ \displaystyle{x} } }  \}^ { \displaystyle{1 \over x }  }                \   \{  \
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\samepage \setbox\sizebox=\hbox{$ \displaystyle{     \lim_{x \to  \infty }  \; \; 
\{  \   \{  9  \}^ { 1  }                \   \{  \
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}

\stepcounter{section}

\end{document}
