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.

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- Aug 23rd 2009, 04:39 PMoblixpsneed 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 PMRandom Variable
Some rules:

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

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

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

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

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

Finally use the mutiple rule and the sum rule