I have the function , where is the subspace topology of the usual topology where A = (a,b) and is the subspace topology of the usual topology where A = (c,d), defined as

How do I show this function is continuous?

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- Oct 31st 2010, 05:09 PMokorProving Continuity
I have the function , where is the subspace topology of the usual topology where A = (a,b) and is the subspace topology of the usual topology where A = (c,d), defined as

How do I show this function is continuous? - Oct 31st 2010, 06:24 PMTinyboss
It's a polynomial.

- Oct 31st 2010, 06:28 PMokor
- Oct 31st 2010, 06:37 PMTinyboss
Why are polynomials continuous? It comes down to sum and product behavior of limits. Of course, this polynomial is actually linear, so you can probably hammer out an epsilon-delta just for this one case if you prefer.

- Oct 31st 2010, 06:50 PMokor