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Lebl-Basic-Analysis-I
· Problem 3.5.5
Continuous Functions
Mathematics · limits-at-infinity
Problem
Come up with the definitions for limits of
f
(
x
)
f(x)
f
(
x
)
going to
−
∞
-\infty
−
∞
as
x
→
∞
x \to \infty
x
→
∞
,
x
→
−
∞
x \to -\infty
x
→
−
∞
, and as
x
→
c
x \to c
x
→
c
for a finite
c
∈
R
c \in \mathbb{R}
c
∈
R
. Then state the definitions for limits of
f
(
x
)
f(x)
f
(
x
)
going to
∞
\infty
∞
as
x
→
−
∞
x \to -\infty
x
→
−
∞
, and as
x
→
c
x \to c
x
→
c
for a finite
c
∈
R
c \in \mathbb{R}
c
∈
R
.
Related theory
Infinite Limits And Limits At Infinity
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