document.write( "Question 1028822: I need help with this problem too:
\n" ); document.write( "Evaluate the following limit:
\n" ); document.write( " The limit of $\"sin%28x+-+pi%29%2F%28x+-+pi%29\"$ , as x approaches $\"pi\"$ \n" ); document.write( "

Algebra.Com's Answer #643869 by rothauserc(4718) $\"\"$ $\"About$

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limit as x approaches pi of (sin(x-pi)) / (x-pi)
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\n" ); document.write( "simplify the expression inside the limit
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\n" ); document.write( "(sin(x-pi)) / (x-pi) = sin(x) / (pi-x)
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\n" ); document.write( "limit as x approaches pi of sin(x) / (pi-x)
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\n" ); document.write( "this intermediate result is of the form 0/0, apply l'Hopital's rule
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\n" ); document.write( "limit as x approaches pi of sin(x) / (pi-x) = limit as x approaches pi of (d sin(x)/dx) / d (pi-x)/dx) =
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\n" ); document.write( "limit as x approaches pi of cos(x) / -1 =
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\n" ); document.write( "limit as x approaches pi of -cos(x)
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\n" ); document.write( "substitute pi for x in the expression
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\n" ); document.write( "limit as x approaches pi of -cos(x) = -cos(pi) = 1
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