Calculus Help?

Question

Use the definition of the limit to find values of theta that correspond to epsilon = . 75

Round down the answer to the nearest thousandth

lim (4 + x - 3x^3) = 2 as the limit approaches 1

Answer 1

-0.75<-3x^3+x+2<0.75
so -3x^3+x+1.25 <0 for x>0.894
-3x^3+x+2.75>0 for x<1.085 so I x-1 I < 0.085 which is the theta