document.write( "Question 1137967: Find lim( as theta approaches 0) 1-cos^2 theta/ (theta)^2 \n" ); document.write( "

Algebra.Com's Answer #755828 by math_helper(2461) $\"\"$ $\"About$

You can put this solution on YOUR website!
Find lim( as theta approaches 0) 1-cos^2 theta/ (theta)^2
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\n" ); document.write( "Use parentheses to make your question clear:\r
\n" ); document.write( "\n" ); document.write( "\"lim( as theta approaches 0) 1-cos^2 theta/ (theta)^2 \" is $\"-infinity\"$
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\n" ); document.write( "\n" ); document.write( "But you probably wanted this:
\n" ); document.write( "lim( $\"theta\"$ -->0) $\"+%28%281-cos%5E2%28theta%29%29%2Ftheta%5E2%29+\"$
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\n" ); document.write( "\n" ); document.write( "= lim( $\"theta\"$ -->0) $\"+%28%28sin%5E2%28theta%29%29%2Ftheta%5E2%29+\"$

\n" ); document.write( "This is 0/0 interderminate form, use L'Hospital's rule: lim(f(x)/g(x)) = lim(f'(x)/g'(x)):

\n" ); document.write( "= lim( $\"theta\"$ -->0) $\"+%28%282sin%28theta%29cos%28theta%29%29%2F%282%2Atheta%29%29+\"$
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\n" ); document.write( "\n" ); document.write( "Still 0/0, apply L'Hospital's again:
\n" ); document.write( "= lim( $\"theta\"$ -->0) $\"+%28%28cos%5E2%28theta%29-sin%5E2%28theta%29%29%2F%281%29%29+\"$

\n" ); document.write( "= 1/1 - 0/1 = $\"+highlight%28+1+%29+\"$
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\n" ); document.write( "\n" ); document.write( "Here is a graph:\r
\n" ); document.write( "\n" ); document.write( " $\"+graph%28400%2C400%2C+-12%2C12%2C-1%2C2%2C+sin%5E2%28x%29%2Fx%29+\"$ \r
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