Consider the function f: R → R given by: if x E Q if x ER\Q. Which of the following sequences (an) demonstrate that f is sequentially discontinuous at 0 € R? Select ALL which apply. a. b. C. d. an = π- an = 1 √n 1 an == n an = √2 n 1+ na n f(x) = {! 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
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Consider the function f: R → R given by:
if x E Q
if x ER\Q.
Which of the following sequences (an) demonstrate that f is sequentially discontinuous at 0 € R? Select ALL which apply.
a.
b.
C.
d.
an = π-
an =
1
√n
1
an ==
n
an =
√2
n
1 + na
n
f(x) =
0
Transcribed Image Text:Consider the function f: R → R given by: if x E Q if x ER\Q. Which of the following sequences (an) demonstrate that f is sequentially discontinuous at 0 € R? Select ALL which apply. a. b. C. d. an = π- an = 1 √n 1 an == n an = √2 n 1 + na n f(x) = 0
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