document.write( "Question 1036420: A2. Is there a number b such that
\n" ); document.write( " $\"lim%28+x-%3E-1%2C+%282x%5E2%2Bbx%2B3b%29%2F%28X%5E2-x-2%29%29\"$
\n" ); document.write( "exists? If so, find the value of b and the value of the limit.
\n" ); document.write( "Detail steps will be appreciated! Thankyou \n" ); document.write( "

Algebra.Com's Answer #651073 by ikleyn(52791) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "b = -1.\r\n" );
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document.write( "Can you complete the assignment with this hint?\r\n" );
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\n" ); document.write( "Comment from student: Hi, Sorry to bother! Do I just plugin the -1 into the b and simply the whole equation and I will able to find
\n" ); document.write( "the value of the limit? And how do I actually find b is equal to -1? Thank you!
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\n" ); document.write( "\n" ); document.write( "My response:\r
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document.write( "1.  Yes, you can.\r\n" );
document.write( "    plugin -1 into the \"b\" and simplify.\r\n" );
document.write( "    Factor the resulting numerator, factor the denominator and cancel the common factors. \r\n" );
document.write( "    Then you will be able to find the limits.\r\n" );
document.write( "    You are on the right track.\r\n" );
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document.write( "2.  How did I get this value of b?\r\n" );
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document.write( "    It is very simple. Factor the denominator:  = (x+1)*(x-2).\r\n" );
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document.write( "    In order for this rational function would have the limit at x-> -1 (where the denominator becomes zero), \r\n" );
document.write( "    the numerator should be zero at x = -1.  Then the equation for the numerator  =  at x = -1 gives this value for b.\r\n" );
document.write( "    Otherwise the limit would be +/- infinity . . . \r\n" );
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\n" ); document.write( "\n" ); document.write( "Your questions do not bother me.
\n" ); document.write( "They are reasonable, and I am glad to help.
\n" ); document.write( "Good luck!\r
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