tn (x)= exp(-x') +\, for all xe [o,l] foc all n EIN"which true?"() (is increasing and lim [fncx)dxc=2Converges point wise to fi[o,1]>R where f(x) =2 forallxE [eg]%3D3) (fn)n converges unifurmly Co,1]4) (Fn)n is deereasing and lim P fncx)dHe #

It is given that fnx=exp(-xn)+1 for all x∈0, 1 and for all n∈ℕ. Check the pointwise convergence and…

which true? Converges point wise to fi[o,1]→R where flx) =2 forallxE [u] "() ( 2 Pn)n is increasing and lim 3) (En), converzes unifurmly Co,1] 4) (fn)n is decreasing and lim fn (x)duL # lim fn(x) duL

which true? Converges point wise to fi[o,1]→R where flx) =2 forallxE [u] "() ( 2 Pn)n is increasing and lim 3) (En), converzes unifurmly Co,1] 4) (fn)n is decreasing and lim fn (x)duL # lim fn(x) duL

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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Question

tn (x)= exp(-x') +\, for all xe [o,l] foc all n EIN"
which true?
"() (
is increasing and lim [fncx)dxc=2
Converges point wise to fi[o,1]>R where f(x) =2 forallxE [eg]
%3D
3) (fn)n converges unifurmly Co,1]
4) (Fn)n is deereasing and lim P fncx)dHe #

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