Evaluate the limit, if it exists.

Question

lim x->0 ((9-x)-(9/(x^2-x)))

Answer 1

To find the limit as x approaches 0, we evaluate the expression directly by substituting 0 for x:

lim x->0 ((9-x)-(9/(x^2-x)))

= (9-0) - (9/(0^2-0))

= 9 - (9/0)

Since division by 0 is undefined, the limit does not exist.