Based on your work in part a, on what interval(s) is f(x) continuous?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Based on your work in part a, on what interval(s) is f(x) continuous?

Transcribed Image Text:Determine the behavior of the functions defined below. Note that it is common to write "f(x) → ∞" to indicate f(x) increases without bound -
use that notation below if needed. If a limit does not exist or the function is undefined, write DNE.
7x3 + 7x
a. Consider f(x)
Complete the following equations.
10x
x2
i. lim f(x) =
Preview
ii. lim f(x) :
Preview
iii. lim f(x)
Preview
iv. f(0)
Preview
DNE
lim f(x):
Preview
V.
=-00
x→10-
vi. lim f(x) = 00
Preview
x→10+
vii. lim f(x)
= DNE
Preview
x→10
viii. f(10) =
Preview
DNE
ix. lim f(x) = 00
Preview
x→00
lim f(x)
Preview
Х.
=-00
x→-00
b. Based on your work in part a, on what interval(s) is f(x) continuous?
Preview
Write your answer in interval notation. If you include multiple intervals, use u to denote union.
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