document.write( "Question 1057731: Find the limit as theta approaches 0 of (cos(theta)-1)/(8sin(theta)).\r
\n" );
document.write( "\n" );
document.write( "Thank you for any help!!!\r
\n" );
document.write( "\n" );
document.write( "Yours,
\n" );
document.write( "Juicy \n" );
document.write( "
Algebra.Com's Answer #672747 by rothauserc(4718) You can put this solution on YOUR website! Note that sin(0) = 0 and cos(0) = 1 \n" ); document.write( ": \n" ); document.write( "as theta approaches 0 the expression approaches (1-1) / (8*0) = 0 / 0 \n" ); document.write( ": \n" ); document.write( "Note that 0 / 0 is indeterminant \n" ); document.write( ": \n" ); document.write( "Reference L'Hôpital's Rule for 0 / 0 \n" ); document.write( ": \n" ); document.write( "The first derivative of sin is cos and first derivative of cos is sin \n" ); document.write( ": \n" ); document.write( "for first derivative evaluation, we get 0 / 8 = 0 \n" ); document.write( ": \n" ); document.write( " \n" ); document.write( " |