

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\cancelto:

\displaystyle\frac{32}{64}=\frac{2\times4\times4}{4\times4\times4}
=\frac{\cancelto{1}{2}\times\cancel{4}\times\cancel{4}}{\cancelto{2}{4}\times\cancel{4}\times\cancel{4}}
=\frac12
\xcancel
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
\displaystyle\xcancel{\lim_{x\to1}\frac{1}{x-1}=+\infty}
\bcancel
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