Question

So when you are trying to find the limit and you know the x values like, 0.5, 0.9, 0.99, 0.999,0.9999, etc. How do you find the f(x) values so that you can find the limit?

Answer 1

what is the f(x) function?

Answer 2

(x2-1)/(x-1)
as x approaches 1

Answer 3

oh you can just factor x^2 - 1 to get (x-1)(x+1)

notice how the x-1 terms cancel

Answer 4

after cancellations, you're left with x+1

then you plug in x = 1 to get x+1 = 1+1 = 2

so the limit is 2

Answer 5

or you can plug in values of x into the function that get closer and closer to x = 1

you'll find that y will get closer and closer to 2