okay. I did my limits exam and my correctins are due tomorrow and I can't for the life of me figure out how to arrive at the correct answer of this question... the question

limit of x as x approaces 0 of [((1/(x+4))-(1/4))/(x)]

and the answer is -1?16... can somebody explain how to arrive at that, or at least the first step?

Quote:

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Originally Posted by ;

Limit of x as x approaches 0 of [((1/(x+4))-(1/4))/(x)]

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Is this right?



The first thing to do is to try to simplify the expression so there is only one numerator and one denominator



This doesn't look right because this goes to infinity as x goes to zero. So, let me know what I wrote wrong.

Perito - check your math. When you simplify the equation you get this:



This indeed has a limit of -1/16 as x goes to zero.

Thanks. I was in a hurry.

Quote:

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Originally Posted by ebaines

Perito - check your math. When you simplify the equation you get this:



This indeed has a limit of -1/16 as x goes to zero.

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Thank you. For Some reason my brain wasn't working that way. THat makes a lot more sense. :)