Choose the one alternative that best completes the statement or answers the question.
-The statement "the limit of a constant times a function is the constant times the limit" follows from a combination of two fundamental limit principles. What are they?
A) The limit of a constant is the constant, and the limit of a product is the product of the limits.
B) function is a constant times a limit, and the limit of a constant is the constant.
C) The limit of a product is the product of the limits, and a constant is continuous.
D) The limit of a product is the product of the limits, and the limit of a quotient is the quotient of the limits.

Question

Choose the one alternative that best completes the statement or answers the question. 
-The statement "the limit of a constant times a function is the constant times the limit" follows from a combination of two fundamental limit principles. What are they?
A) The limit of a constant is the constant, and the limit of a product is the product of the limits.
B) function is a constant times a limit, and the limit of a constant is the constant.
C) The limit of a product is the product of the limits, and a constant is continuous.
D) The limit of a product is the product of the limits, and the limit of a quotient is the quotient of the limits.

Quizplus · Accepted Answer

The statement is a direct application of the limit laws: the limit of a constant is that constant, and the limit of a product of two functions is the product of their limits.

Choose the One Alternative That Best Completes the Statement or Answers