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Homework Statement
Prove that if f(x)<=g(x) then lim f(x) <= lim g(x).
Homework Equations

The Attempt at a Solution
I've tried by definition of limit, but I didn't get anywhere with this... Can anyone help me??
I am puzzled by phind's question. The answer is "yes, it does" but I don't see how that helps here.
QUOTE]
Hm ... I guess I'm missing something. I don't see how the limit of a function could possibly give you a value that is outside the range of the possible values of the function.
Try ##\lim_{x\to\infty}\frac 1 x##.Hm ... I guess I'm missing something. I don't see how the limit of a function could possibly give you a value that is outside the range of the possible values of the function.
OK, thanks. I got it.Try ##\lim_{x\to\infty}\frac 1 x##.