Q: Suppose fn(x)=x^n on an interval of [0, inf) where f(0)=0, show that the function is monotone inc and continuous (without eps/delta). -- Chapter help needed, I think I have monotone inc done, just not cont.
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Anonymous2012-04-26 2:05
n is an integer? you'll need epsilon delta for n=1. then use the fact that a product of two continuous functions is continuous, and proceed by induction. But it's not clear what you can use, given that they tell you not to use epsilon & delta.