Finding the Limit of f(x)?

Question

Find the limit of f(x) as x approaches 2, where f is defined by:

f(x) =

{1, x not = 2

{0, x=2

I do not know how to read this or do this problem whatsoever. FYI I am taking Calculus without ever taking Precalc/Trig. It would help to be specific.

Thanks for the help!

Answer 1

ok so  x is always 1 from - infinity to infinity except at the number 2.

that means as x gets really really close to 2, f(x) will be 1 until at the last second when it turns to 0. so the limit is 1 even though the actual output of f(2) is not

Answer 2

f(1) = 1 if x= 1 ( x>2)

f(2) = 0 if x= 2 (x =2)

try integrating this equation, i dont remeber the rules for integrating the limits of this equation.