document.write( "Question 387635: lim cosx - cos3x /x^2
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\n" ); document.write( "lim 1-cos4x /xsin2x
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Algebra.Com's Answer #274814 by richard1234(7193) $\"\"$ $\"About$

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I would advise you to insert parentheses so that the question becomes less ambiguous. For the first problem, I interpret it as:\r
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\n" ); document.write( "\n" ); document.write( " $\"lim%28x-%3E0%2C+%28cos+x+-+%28cos+%283x%29%29%2Fx%5E2%29%29\"$ (by the order of operations)\r
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\n" ); document.write( "\n" ); document.write( "= $\"lim%28x-%3E0%2C+%28%28x%5E2+%28cos+x%29+-+cos%283x%29%29%2Fx%5E2%29%29\"$ \r
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\n" ); document.write( "\n" ); document.write( "The numerator approaches -1 (by direct substitution) while the denominator approaches zero. Thus, the limit approaches negative infinity.\r
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\n" ); document.write( "\n" ); document.write( "The second problem is similar, you may or may not have to use L'Hopital's rule to rewrite the limit. \n" ); document.write( "

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