Can I have a detialed, step-by-step explanation for PART(e) of the following question?Please indicate the relevant reasoning or assumptions you made, during simplications and calculations.Thank you very much! Use the Mn test to determine whether the following sequence of functions are uniformlyconvergent or not.sin(n²x)(a) fn(x) =x € R(b) fn(x) = 1–x € [0, 1](c) fn(x) =x € R1+n2x2 '(d) fn(x) =n(1+nx²)' * > 0n In r(e) fn(x) =x > 1(f) fn(x)= x"-1(1 – x), x € [0, 1](g) fn(x) =x" cos(nx)3.E [0,2+ xnn2(h) fn(x) =x > 0n2 + x² '(i) fn(x):= nxe-nx², x > 0

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Answered: n In x (e) fn(x) = x > 1

Math

Advanced Math

n In x (e) fn(x) = x > 1

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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Question

Can I have a detialed, step-by-step explanation for PART(e) of the following question?

Please indicate the relevant reasoning or assumptions you made, during simplications and calculations.

Thank you very much!

Use the Mn test to determine whether the following sequence of functions are uniformly
convergent or not.
sin(n²x)
(a) fn(x) =
x € R
(b) fn(x) = 1–
x € [0, 1]
(c) fn(x) =
x € R
1+n2x2 '
(d) fn(x) =
n(1+nx²)' * > 0
n In r
(e) fn(x) =
x > 1
(f) fn(x)= x"-1(1 – x), x € [0, 1]
(g) fn(x) =
x" cos(nx)
3.
E [0,
2+ xn
n2
(h) fn(x) =
x > 0
n2 + x² '
(i) fn(x):
= nxe-nx²
, x > 0

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