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October 25th, 2009, 07:11 PM   #1
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Find a value a such that limit

lim ((5x^2+ax+/(x^2-x-2))
x->2
How do I find the value of a?
Could someone help me with this problem?
Thank you
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October 25th, 2009, 07:16 PM   #2
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Re: Find a value a such that limit

What is equal to?
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October 25th, 2009, 07:27 PM   #3
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Re: Find a value a such that limit

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Originally Posted by greg1313
What is equal to?
That's the only question it has. There is no equal. It ask me to find the value of a of that limit, and then find the limit.
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October 25th, 2009, 07:33 PM   #4
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Re: Find a value a such that limit

You can perform the division, or factor and consider that you'd need to reduce by the factor(x - 2), or can use the Factor Theorem to show that the top is divisible by the bottom [has a remainder of zero] if a = -14 giving a limiting value of 2. Otherwise the denominator approaches zero.
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October 25th, 2009, 07:47 PM   #5
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Re: Find a value a such that limit

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You can perform the division, or factor and consider that you'd need to reduce by the factor(x - 2), or can use the Factor Theorem to show that the top is divisible by the bottom [has a remainder of zero] if a = -14 giving a limiting value of 2. Otherwise the denominator approaches zero.
you said that the denominator approaches zero, so the a will be 0 too. Am I right?
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October 25th, 2009, 08:24 PM   #6
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Re: Find a value a such that limit

As David pointed out, the a is -14.



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October 25th, 2009, 09:39 PM   #7
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Re: Find a value a such that limit

"Find a value a such that [the] limit [exists]" ?
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October 25th, 2009, 09:59 PM   #8
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Find a value a such that limit

LIM x->2 sin(1/x-1/2)

can anybody solve this problem?
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October 26th, 2009, 07:13 AM   #9
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Re: Find a value a such that limit

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Originally Posted by greg1313
As David pointed out, the a is -14.



Yes, but I tried not to do it for him.
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