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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.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 17E
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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.
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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