Limits and Continuity

[Ain3r_13]

Am really baffled by this question that has bothered me for quite some time now, it goes:
If we have a function f (x) = (2 - x)^n where n is any real number, what values of n give us a limit in f(x)?


Thank you!

 

[blamocur]

Where does 'x' tend to?
What are you thoughts on this?

 

[Ain3r_13]

That's how I found the question, trust me

 

[Deleted member 4993]

That's how I found the question, trust me

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[Dr.Peterson]

Am really baffled by this question that has bothered me for quite some time now, it goes:
If we have a function f (x) = (2 - x)^n where n is any real number, what values of n give us a limit in f(x)?


Thank you!

If you're saying that this is an exact quotation of a problem that you were given, then it can't be answered, because it is incomplete. If it said, on the other hand, something like

For what real values of n does [imath]\displaystyle\lim_{\color{Red} x\to\infty}(2-x)^n[/imath] exist?​

or

For what real values of n does [imath]\displaystyle\lim_{\color{Red} x\to2}(2-x)^n[/imath] exist?​

then there would be something to discuss. (In the latter case, there are some interesting issues involved.)

But even then, as you've seen, we ask to see what you know, what you have tried, and what about it bothers you, in order to know what sort of help you need.

An image of the actual problem, and some information about where it came from (e.g. if it is from a course you are taking, and what topics were recently covered) will also help.