Question

The value of f(-2) = 3 but there is no limit of f(x) as x approaches -2 and no vertical asymptotes there.

a) True
b) False
c) Indeterminate
d) Insufficient information

Answer 1

The statement about the function value f(-2) = 3 and the lack of a limit or vertical asymptote at x=-2 is indeterminate without additional information on the behavior of the function near x=-2.

Step-by-step explanation:

The statement that f(-2) = 3 but there is no limit of f(x) as x approaches -2, and no vertical asymptotes exist at that point, is indeterminate based on the information given. The function value at x = -2 merely tells us the function's value at that specific point. It does not provide us with any information on the behavior of the function around that point. Without additional information on how the function behaves near x = -2, we cannot determine if the limit exists or if there is a vertical asymptote.