document.write( "Question 1044993: Example: Please help me solve this equation: if f(x)=\"+%283x%5E2%2Bx%29%2F2x+\" for x=!0
\n" ); document.write( " \"f%280%29=k\"
\n" ); document.write( "and if ƒ is continuous at x = 0, then k =
\n" ); document.write( "A) -3/2
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\n" ); document.write( "(C) 0
\n" ); document.write( "(D) 1
\n" ); document.write( "(E) 3/2 answer here \n" ); document.write( "
Algebra.Com's Answer #660435 by ikleyn(52803)\"\" \"About 
You can put this solution on YOUR website!
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\n" ); document.write( "Example: Please help me solve this equation: if f(x)=\"+%283x%5E2%2Bx%29%2F2x+\" for x=!0
\n" ); document.write( " \"f%280%29=k\"
\n" ); document.write( "and if ƒ is continuous at x = 0, then k =
\n" ); document.write( "A) -3/2
\n" ); document.write( "(B) -1
\n" ); document.write( "(C) 0
\n" ); document.write( "(D) 1
\n" ); document.write( "(E) 3/2 answer here
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document.write( "The formulation is incorrect. (And the solution is incorrect as well).\r\n" );
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document.write( "The correct formulation and solution follow:\r\n" );
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document.write( "    You are given a function  f(x) = \"%283x%5E2%2Bx%29%2F%282x%29\".\r\n" );
document.write( "    Find the limit of the function at x-->0.\r\n" );
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document.write( "Solution. \r\n" );
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document.write( "Factor x out parentheses in the numerator. Then cancel factor \"x\" in the numerator an denominator. You will get\r\n" );
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document.write( "lim   \"%283x%5E2%2Bx%29%2F%282x%29\" =  lim  \"%28x%2A%283x%2B1%29%29%2F%282x%29\" =  lim   \"%283x%2B1%29%2F2\" = \"1%2F2\".\r\n" );
document.write( "x-->0              x-->0               x-->0\r\n" );
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document.write( "Notice that this result  lim = \"1%2F2\"  is not in the list.\r\n" );
document.write( "Nevertheless, this result is correct.\r\n" );
document.write( "Everything in the list is incorrect.\r\n" );
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\n" ); document.write( "\n" ); document.write( "The plot illustrates it:\r
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\n" ); document.write( "\n" ); document.write( "Plot y = \"%283x%5E2%2Bx%29%2F%282x%29\"\r
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