Question: Suppose that f is a real function. a) Prove that if exists, then |f(x)| |L| as x a. b) Show that there is

Suppose that f is a real function.
a) Prove that if
Suppose that f is a real function.a) Prove that ifexists,

exists, then |f(x)| †’ |L| as x †’ a.
b) Show that there is a function such that, as x †’ a, |f(x)| †’ |L| but the limit of f (x) does not exist.

L = lim f(x)

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