need help on delta epsilon proof

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• Aug 23rd 2009, 04:39 PM
oblixps
need help on delta epsilon proof
if http://www.mathhelpforum.com/math-he...bff28685-1.gif is a polynomial, then http://www.mathhelpforum.com/math-he...901da047-1.gif

so i have |x-a|< δ
and |p(x)-p(a)|< ε

but i have no idea what to do next. please help.
• Aug 23rd 2009, 05:33 PM
Random Variable
Some rules:

If $\lim_{x \to a} f(x) = L$ and $\lim_{x \to a} g(x) = M$

then $\lim_{x \to a} (f+g)(x)=L+M$ and $\lim_{x \to a} (fg)(x)=LM$

also $\lim_{x \to a} \ (kf)(x) = kL$

Prove that $\lim_{x \to a}x = a$

Now use the product rule and induction to show that $\lim_{x \to a}x^{n} = a^{n}$

Finally use the mutiple rule and the sum rule