document.write( "Question 1034446: 6. Let f =
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document.write( "| 4 − x^2 if x ≤ 2
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document.write( "| x^3 − 2x^2 + a, if x > 2
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document.write( "Find the value of a that will make f continuous on (−∞, ∞).\r
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document.write( "So here is what I did:\r
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document.write( "lim 4-(-2)^2 = 0
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document.write( "x-> -2 \r
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document.write( "lim 4-(2)^2 = 0
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document.write( "x-> 2\r
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document.write( "lim 2^3 - 2(2)^2 + a = a?
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document.write( "x-> 2+ \r
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document.write( "Does this make sense? I'm not sure how to do this \n" );
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Algebra.Com's Answer #649099 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Let f = {| 4 − x^2 if x ≤ 2 \n" ); document.write( "| x^3 − 2x^2 + a, if x > 2 \n" ); document.write( "Find the value of a that will make f continuous on (−∞, ∞). \n" ); document.write( "So here is what I did: \n" ); document.write( "lim 4-(-2)^2 = 0 \n" ); document.write( "x-> -2 \n" ); document.write( "lim 4-(2)^2 = 0 \n" ); document.write( "x-> 2 \n" ); document.write( "lim 2^3 - 2(2)^2 + a = a? \n" ); document.write( "x-> 2+ \n" ); document.write( "------- \n" ); document.write( "Ans: a = 0 \n" ); document.write( "------------------ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |