001 Plug

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Algebraically find the limit as x approaches 5 from the right of (x+5)/(x-5)?

I know that the limit does not exist for the function at x = 5. However, with the restriction of x approaching 5 from the right, the limit is infinity, which I found graphically. I cannot figure out how to simplify the equation to show the infinite limit algebraically. I think I need to rationalize the numerator, but I'm not sure how to do it.

As x approaches 5 from the right, it comes very close to 5, but it is still more then 5. Pick a # more then 5. Lets pick 5.001. Plugging it in, we get (5.001+5)=(5.001-5) = ~10/.001 which is a big number. So it is approaching positive infinity.
For right hand limits and left hand limits, just take a # very close 2 what x is approaching (like .001 or .1 away) and plug it in and you will see if its approaching positive or negative infinity.

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