SOLUTION: If f is a continuous function with even symmetry and limit as x approaches infinity of f of x equals 10, which of the following statements must be true? I. the limit as x goes t

Question 1102927: If f is a continuous function with even symmetry and limit as x approaches infinity of f of x equals 10, which of the following statements must be true?
I. the limit as x goes to negative infinity of f of x equals 10
II. There are no vertical asymptotes.
III. The lines y = 10 and y = �10 are horizontal asymptotes.
A) I only
B) II only
C) I and II only
D) All statements are true.
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Because f(x) = f(-x) (f is an even function), I is automatically true, and III is false. II depends on the domain of the function, and whether
it is continuous over that domain. In general, it is NOT true. (Take , which is continuous over its domain R\{0}, but has the
vertical asymptote x = 0.)

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