Question

How do you find the limit of `R(x) = (x - 1)/(x² - 1)` as x approaches `-1`?

Answer 1

You need to manipulate the denominator and simplify before evaluating the limit

Explanation:

Using that `x^2-1 = (x+1) (x-1)`, we can write:

`R(x)= (x-1)/((x+1) (x-1))` we can then simplify and we have:

`R(x)=1/(x+1)`, so we have:

`lim_(xrarr-1) R(x)=lim_(xrarr-1) 1/(x+1)=oo`