Limits

Hi, 

As x approaches 5 from the right, this means that the value of x will be greater than 5 (imagine number line where numbers on the right are greater than numbers of the left side)

Since x > 5, the abs value, |x-5| = (x-5)

 x ----> 5 meaning (x-5) -----> 0 (not exactly 0 but a very small number close to zero)

when you take any number and divide it by a very small number (close to zero), the result will be very large right?

So we can say f(x) will approach (+) infinity as x approaches 5 from the right

After you understand this, let's think about what will happen if x approaches 5 from the left :)

* tips: you find out how the graph looks like by using Google. just type

plot  y = f(x) where f(x) is the equation (x^2 + 4x +3) /  (x-5) in this case.

in the search bar.