Question

what does it mean when the directions say use continuity to evaluate the limit

Answer 1

lim e^(8 x^5 - 8 x)
x->1

Answer 2

Well, for a continuous function:

\[\lim_{x \rightarrow a} f(x)= f(a)\]

Answer 3

So in your case, just plug in 1 for x, and since the exponential function is continuous you know that the limit is the value of the function at that point.