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