document.write( "Question 1174065: For the limit
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document.write( "lim x → 2 (x3 − 4x + 5) = 5
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document.write( "illustrate the definition by finding the largest possible values of 𝛿 that correspond to 𝜀 = 0.2 and 𝜀 = 0.1. (Round your answers to four decimal places.) \n" );
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Algebra.Com's Answer #799431 by Edwin McCravy(20065) You can put this solution on YOUR website! \r\n" ); document.write( "For 𝜀 = 0.2,\r\n" ); document.write( "We use a graphing calculator to find x when x3-4x+5 = 5+𝜀 = 5+0.2 = 5.2,\r\n" ); document.write( "which is x = 2.0245463. So, in that case, the maximum value of |x-2| = 𝛿 = 0.0245.\r\n" ); document.write( "\r\n" ); document.write( "For 𝜀 = 0.1,\r\n" ); document.write( "We find x when x3-4x+5 = 5+𝜀 = 5+0.1 = 5.1, which is x = 2.0123847. So, in that case, \r\n" ); document.write( "the maximum value of |x-2| = 𝛿 = 0.0124\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |