Suppose we wish to give an ε - δ proof that

We begin by writing
x + 6 / x4 - 4x3 + x2 + x + 6 + 1
In the form (x - 3) g(x).
(a) Determine g(X).
(b) Could we choose δ = min (1/ ε/n) for some n? Explain.
(c) It we choose δ = min(1 / 4, ε/m), what is the smallest integer m that we could use?

lim