document.write( "Question 347590: as t approaches 0 find the limit of ((sin^2)3t)/(t^2) \n" ); document.write( "

Algebra.Com's Answer #248473 by Fombitz(32388) $\"\"$ $\"About$

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Use L'Hopital's rule.
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\n" ); document.write( "f(x)= $\"%28sin%283t%29%29%5E2\"$
\n" ); document.write( "f1(x)=f'(x)= $\"6sin%283x%29cos%283x%29\"$
\n" ); document.write( "f2(x)=f''(x)= $\"18cos%5E2%283x%29-18sin%5E2%283x%29\"$
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\n" ); document.write( "g(x)= $\"x%5E2\"$
\n" ); document.write( "g1(x)=g'(x)= $\"2x\"$
\n" ); document.write( "g2(x)=g''(x)= $\"2\"$
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\n" ); document.write( " $\"f2%28x%29%2Fg2%28x%29=9cos%5E2%283x%29-9sin%5E2%283x%29\"$
\n" ); document.write( " $\"lim+%28x-%3E0%2C+f2%28x%29%2Fg2%28x%29%29=9%281%29-9%280%29=highlight%289%29\"$ \r
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