Q5 MULTIPLE CHOICE One answer only We consider the sequence of functions (fn)neN defined on [0, 1] by fn(x) = exp (1 1 + ex 1+ e²nx Which of the following statement is true? a. (fn)nẸN does not converge pointwise on [0, 1]. b. (fn)neN converges pointwise on [0, 1] to the constant function equal to 1. c. (fn)neN converges pointwise on [0, 1] to the constant function equal to exp(1). d. (fn)nЄN converges pointwise on [0, 1] to a discontinuous function.
Q5 MULTIPLE CHOICE One answer only We consider the sequence of functions (fn)neN defined on [0, 1] by fn(x) = exp (1 1 + ex 1+ e²nx Which of the following statement is true? a. (fn)nẸN does not converge pointwise on [0, 1]. b. (fn)neN converges pointwise on [0, 1] to the constant function equal to 1. c. (fn)neN converges pointwise on [0, 1] to the constant function equal to exp(1). d. (fn)nЄN converges pointwise on [0, 1] to a discontinuous function.
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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![Q5 MULTIPLE CHOICE One answer only
We consider the sequence of functions (fn)neN defined on [0, 1] by
1+ ex
fn(x) = exp (1+2)
1 + e²m x
Which of the following statement is true?
a. (fn)neN does not converge pointwise on [0, 1].
b. (fn)neN converges pointwise on [0, 1] to the constant function equal to 1.
c. (fn)neN converges pointwise on [0, 1] to the constant function equal to exp(1).
d. (fn)neN converges pointwise on [0, 1] to a discontinuous function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3cb672f7-47ed-4ee3-be4e-71db737c6150%2F438fdd4e-c6ea-4c2d-8da5-29ef41fe99f3%2F4ptmw7s_processed.png&w=3840&q=75)
Transcribed Image Text:Q5 MULTIPLE CHOICE One answer only
We consider the sequence of functions (fn)neN defined on [0, 1] by
1+ ex
fn(x) = exp (1+2)
1 + e²m x
Which of the following statement is true?
a. (fn)neN does not converge pointwise on [0, 1].
b. (fn)neN converges pointwise on [0, 1] to the constant function equal to 1.
c. (fn)neN converges pointwise on [0, 1] to the constant function equal to exp(1).
d. (fn)neN converges pointwise on [0, 1] to a discontinuous function.
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