Find the limit or show that it does not exist lim at -infinity of (x-2)/(x^2+1)

Question

Please help

Answer 1

(x-2)/(x^2-1). AS x goes to negative infinity the limit of the function goes to zero similar to  (x/x^2). If you graph it you will see that the x^2 term in the denominator takes the value of the function to zero from the negative side.