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March 28th, 2012, 09:30 PM   #1
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Finding the Limit

I can't seem to get the equation to a point where the denominator doesn't equal to zero when the 4 is sub'd in.?

lim (4 - x) / ( 5 - sqrt(x^2 +9) )
x ->4

Alternatively, is there another way to approach this other than subbing the 4?
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March 28th, 2012, 09:55 PM   #2
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Re: Finding the Limit

Since we have the indeterminate for 0/0, we may either use L'H˘pital's rule (which I assume you haven't been given yet) or we may rewrite the expression as follows:

So, now we have:

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