2. Let f(x) = x² + 1 if x < 1 √x² + 1 (x - 2)² if x ≥ 1 (a) Find limx→- f(x) and limx→+ f(x). (b) Does limx→1 f(x) exist? (c) Sketch the graph of f.
2. Let f(x) = x² + 1 if x < 1 √x² + 1 (x - 2)² if x ≥ 1 (a) Find limx→- f(x) and limx→+ f(x). (b) Does limx→1 f(x) exist? (c) Sketch the graph of f.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 7E
Related questions
Question
Transcribed Image Text:s/2345_Single Variable_Calculus_Early_Transcendentals_(9th Edition).par
(a) Find
52. Let
ES
139 / 1421
(i) lim g(x)
x⇒2+
X
|x 21
53. Let
(b) Does limx→2 g(x) exist?
(c) Sketch the graph of g.
54. Let
f(x)
1
- {x
B(t) =
240% + |
(a) Find limx→- f(x) and limx→+ f(x).
(b) Does limx→ f(x) exist?
(c) Sketch the graph of f.
g(x) =
2
√x² + 1
[(x - 2)²
[4-t if t<2
√t+c if t≥ 2
Find the value of c so that lim,→2 B(t) exists.
=
(ii) lim_g(x)
x-2-
X
3
if x < 1
if x = 1
1302
if x < 1
if x = 1
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