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Mathematics 16 Online
OpenStudy (anonymous):

Draw on graph paper the graph of single a function that satisfies the following conditions. lim f(x)=infinity x arrow -2

OpenStudy (anonymous):

\[ f(x)=\infty \]\[x \rightarrow -2\]

OpenStudy (anonymous):

Can you help me out

OpenStudy (anonymous):

Yeah, do they want the limit to equal infinity from both sides, or just one side?

OpenStudy (anonymous):

um I don't know I am really confused so I don't even know where to begin

OpenStudy (anonymous):

and it does not say for the infinity

OpenStudy (anonymous):

Do you understand limits?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

Okay, so the question is looking for an equation, that when we plug a number like -1.9998 it will get quite big.

OpenStudy (anonymous):

As the function approaches the number -2, it will get infinitely large, but it will be undefined at x = -2

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

Hm, I'm trying to think of an equation where the limit would be infinity from both sides.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

Almost got it, just testing it now.

OpenStudy (anonymous):

This is actually really difficult, is that exactly how the problem worded it?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

You know what, I think they want this 1/(x+2) as the function.

OpenStudy (anonymous):

We can restrict it to only positive integers too, I guess.

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

Do you know what function looks like?

OpenStudy (anonymous):

http://www.wolframalpha.com/input/?i=limit+of+1%2F%28x%2B2%29+x-%3E-2 They have a nice picture of it there.

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