Use a CAS to plot the function near the point x0 being approached. From your plot guess the value of the limit.
-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) The limit of a product is the product of the limits, and the limit of a quotient is the quotient of the limits.
C) The limit of a function is a constant times a limit, and the limit of a constant is the constant.
D) The limit of a product is the product of the limits, and a constant is continuous.

Question

Quizplus · Accepted Answer

The statement "the limit of a constant times a function is the constant times the limit" is a direct consequence of two principles: "The limit of a constant is the constant," which ensures that constants can be factored out of limits, and "the limit of a product is the product of the limits," which allows the multiplication of limits.

Use a CAS to Plot the Function near the Point