What happens if you divide by zero?

Do you get infinity or 1?

>>30
As >>31 said, the reason lim(x->1) (3x+5) = 8 because the function is continuous at x=1; this means the limit at 1 matches the value at 1. If you were asked to prove this on a test on elementary function theory, writing

lim(x->1) (3x+5) = 3(1)+5 = 8

would give you a failing grade.