1. The problem statement, all variables and given/known data 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 2. Relevant equations the formal def. of a limit: lim x->x_0 F(x) = L if, for every number epsilon > 0, there exists a corresponding number delta>0 such that 0<|x-x_0| < delta implies |f(x) - L| < epsilon 3. The attempt at a solution I've tried plugging multiple different things in to the equations, but i, sadly, have no idea what i'm doing. 0 < |x-11| < epsilon and |sqrt(27-x) - 4| < 1. Attempting to solve the second equation i get x>2. If i plug that into the first equation i got -9. But that is definitely not the answer. I just don't know what all these numbers mean.