Question

What value c should be chosen so that
f(x) = {1 + (x^2 -x - 6)/(x-3), if x =/= 3
= { c, if x = 3

is continuous at x = 3?

Answer 1

I took the limit of x->3, which is 6, then I put f(3) = c.... I'm lost as to what I do next

Answer 2

that is it.

Answer 3

if the limit is 6, put \(c=6\) and you are done

Answer 4

alright thanks

Answer 5

question is just a goofy way of asking what the limit is