Yes, it is possible for the statement "lim f(x) = 5 as x approaches 2" to be true even if f(2) = 3.
The equation "lim f(x) = 5 as x approaches 2" means that as the input value of the function f(x) gets closer and closer to 2, the output value of the function gets closer and closer to 5.
Think of it like this: imagine you are walking towards the number 2 on a number line. As you get closer and closer to 2, the function's output value approaches 5, even though it may not exactly be 5 at any point before you reach 2.
Yes, it is possible for the statement "lim f(x) = 5 as x approaches 2" to be true even if f(2) = 3. This is because the limit statement refers to the behavior of the function as the input value approaches 2, not necessarily at the exact value of 2.
Complete question:
Explain in your own words what is meant by the equation
lim f(x) = 5
x-->2
Is it possible for this statement to be true and yet f(2)= 3 ? Explain.