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- Thread starter tahayassen
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Please clarify with an example.

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For limits, we are concerned what y-value the function is headed for. It doesn't matter if there is a hole or something at that point, because the limit never actually equals the value x is headed towards. It can get infinitely close, however.

For some limits, we don't have to do much work or simplification. So, if you can plug in the x-value without the denominator being equal to 0, go for it!

Also, if lim x-> a of f(x) exits and equals f(a) , we call the function continuous (Assuming f(a) exists as well)

- #4

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Never mind.

My prof. answered my question in lecture today. It's called the direct substitution property.

http://web.viu.ca/wattsv/math121/Overheads/section14/directsubstitution.pdf [Broken]

My prof. answered my question in lecture today. It's called the direct substitution property.

http://web.viu.ca/wattsv/math121/Overheads/section14/directsubstitution.pdf [Broken]

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