Find (A) the leading term of the polynomial, (B) the limit as approaches , and © the limit as approaches

(A) The leading term is

The leading term of the polynomial is determined by the term with the highest degree. Here, the term has the highest degree of 3, making it the leading term. Thus, the leading term is .

As approaches , the dominating term in the polynomial is again . Since the coefficient is negative and the degree is odd, the limit will approach . Therefore, the limit as approaches is .

Conversely, as approaches , the term still dominates, but because is negative, raising it to an odd power results in a positive outcome. Hence, the overall limit as approaches will be .