39-40. Intervals of continuity Complete the following steps for each function. a. Use the continuity checklist to show that f is not continuous the given value of a. b. Determine whether f is continuous from the left or the right at a. c. State the interval(s) of continuity. 40. f(x) = {2,³ Jx³+4x+1_if x ≤ 0 if x > 0 ; a = 0
39-40. Intervals of continuity Complete the following steps for each function. a. Use the continuity checklist to show that f is not continuous the given value of a. b. Determine whether f is continuous from the left or the right at a. c. State the interval(s) of continuity. 40. f(x) = {2,³ Jx³+4x+1_if x ≤ 0 if x > 0 ; a = 0
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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Transcribed Image Text:70-81. Horizontal and vertical asymptotes
a. Analyze lim f(x) and lim f(x), and then identify any horizontal asymptotes.
→∞
H-18
b. Find the vertical asymptotes. For each vertical asymptote x = a, analyze lim f(x) and lim f(x).
x→a
x+a+
78. f(x) =
=
|1x²|
x(x + 1)

Transcribed Image Text:39-40. Intervals of continuity Complete the following steps for each function.
a. Use the continuity checklist to show that f is not continuous at the given value of a.
b. Determine whether f is continuous from the left or the right at a.
c. State the interval(s) of continuity.
40. f(x)
=
x³ + 4x + 1 if x ≤ 0
S
12x³
if x > 0
; a = 0
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