Do you mind if i walk you through my steps, if i make a mistake it should be easier to pinpoint the area :)
So |sqrt(27-x)-4| < 1
- add 4 to both sides
|sqrt(27-x)| < 5
-get rid of the square root
|27-x|< 25
-subtract 27 from each side
|-x| < -2
-...
Homework Statement
For f(x) = sqrt(27-x), L=4, x_0 = 11 epsilon = 1, find the largest value of delta > 0 in the formal definition of a limit which ensures that |f(x) - L| < epsilon
Homework Equations
the formal def. of a limit:
lim x->x_0 F(x) = L if, for every number epsilon > 0...