the definition of continutiy is stated in garbled forms. Identify the one that is equivalent for the definition of continuity and draw a sketch of what each of the others represents.

a. for every epsilon > 0 and every delta > 0, |x - c| < delta implies |f(x) - f(c)| < epsilon.

b. There is an epsilon >0 such that for every delta>0, |x - c| <delta implies

|f(x) - f(c)| < epsilon.

c. for some epsilon > 0, there is a delta > 0 such that |x - c| < delta implies |f(x) - f(c)| < epsilon.

d. There is a delta >0 such that for every epsilon >0, |x - c| <delta implies

|f(x) - f(c)| < epsilon.

I chose d. I don't know for sure.