Question

Use a graph of f or some other method to determine what, if any, value to assign to f(a) to make f continuous at x = a.

f(x) = (1−e^x) / (x); a = 0

Answer 1

None for this one

Answer 2

how about -1 since e^x can be approximated by 1+x when x get close to 0.

Answer 3

Use L'Hospital rule for determining the limit when x->0

Answer 4

l'hospital's*