lim _(x arrow 3) f(x)=(x^3-3 x^2-2 x+6)/(x-3)

To find the limit of the given function as approaches -3, we can try to simplify the expression and see if we can directly substitute . If we substitute directly into the function, we get: Simplifying the numerator: So the numerator becomes: And the denominator is: Thus, we have: Since we were able to substitute directly and the expression is defined, the limit is: