Quiz 4


Date: MATH 1210-4 - Spring 2004

Note: Unless stated otherwise, answers without justification receive no credit. Please, show your work!

  1. $ \lim_{x\rightarrow 5} \frac{2x^2-11x+5}{x-5} = 9$. Give an $ \epsilon$-$ \delta$ proof of this fact.

  2. Knowing that $ \lim_{x\rightarrow 7} f(x) = 1$ and $ \lim_{x\rightarrow 7} g(x) = 9$, use properties of the limit operation to find

    $\displaystyle \lim_{x\rightarrow 7} \frac{2 (g(x)-4f(x))^2}{\sqrt{g(x)}}.$    



Javier Fernandez 2004-02-06