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anonymous
 5 years ago
If the Limit of a function = L as x approaches c, does the f(c)= L? Explain?
anonymous
 5 years ago
If the Limit of a function = L as x approaches c, does the f(c)= L? Explain?

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0well, that IS the definition .... so yes.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0If the limit if a function is the limit of a function; does the limit of the function exist? .... yes

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0youve pretty much asked: I circle is round if a circle is round; is a circle round? if so, why?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0if it did, why would you say limit?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0you would just say \[f(c)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0How about if f(c) = L, then the limit of f(x) as x approaches c = L?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0f(c) doesnt HAVE to equal L; but that is the gist of it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0right that is the whole point. if you could compute limits by evaluating functions we would never have heard of them.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Well, the book is telling me it is false.........

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0of course it is false!

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0that is the whole point. if the function is continuous then it is true.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0the limit if a poly is L at c :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0here is the simplest example i can think of \[lim_{x>2}\frac{x^24}{x2}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0in this case \[f(x)=\frac{x^24}{x2}\] and this limit is obviously 4 but \[f(4)\] is undefined.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0oh that aint the simplest lol; how about: x^2  as x approaches 0 x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I think a piecewise function would be a better explanation....

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0matter of fact here is an even simpler one. \[f(x)=x\] if \[x\neq5\] \[f(5)=\pi\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0piecewise is better suited for continuity i think

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0then the limit as x>5 is 5, but \[f(5)=\pi\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no i don't think piecewise is a better explanation at all.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well except that my example was a piecewise function.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, it was a little tricky at first, but it is actually pretty simple..........thanks satellite
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