Question

For the limit below, find values of δ that correspond to the ε values 1 and 0.01
lim (3 + x - 3x^3) = 1
x->1

Answer 1

See wikipedia for the epsilon-delta explanation for limits: http://tinyurl.com/yff5nhx

Write the inequality reasoning using the Wikipedia page as reference.
Then substitute the epsilon values and solve for the corresponding epsilon values.

If you want further advice, tell where you're stuck at.

Answer 2

I should've written "corrensponding delta values"