Basic Analysis I — Real Analysis · Problem 3.5.5

Continuous Functions — Jiri Lebl

Mathematics — Real Analysis · limits-at-infinity

Problem

Come up with the definitions for limits of

f(x)

going to

-\infty

x \to \infty

x \to -\infty

, and as

x \to c

for a finite

c \in \mathbb{R}

. Then state the definitions for limits of

f(x)

going to

\infty

x \to -\infty

, and as

x \to c

for a finite

c \in \mathbb{R}