determine

Question

lim f(x)
x -> 1
where f(x) =
{ 13 - x^2, x < or equal to 1
11 - x, x > 1

a. 11
b. limit does not exist
c. 13
d. 10
e. 12

Answer 1

left limit: 13-1^2 = 12
right limit: 11-1 = 10

Looks like B to me

Now, if it were 11+x, then the limit would be 1 from both sides.

Note that f(1) is not defined