1. Show that the sequence fh3, whore fnex) = tan nx , x7o is uniprmly on ony Interval Ca,6], a> o but is only pointwise conrergent on [o,6]. Hint: (ton hx + cutnx = ).
1. Show that the sequence fh3, whore fnex) = tan nx , x7o is uniprmly on ony Interval Ca,6], a> o but is only pointwise conrergent on [o,6]. Hint: (ton hx + cutnx = ).
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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![dssignment:
1. Show that the sequence Pfo}, where
fex) = tan hx, xzo in uniprmly
convergent on ony Interral [a,h], aso but
is only pointwise conrergent on [0,6].
Hint: (tonhx + cutnix = ).
%3D
ノ
2.
Show that the sequence fh}, where
farx) =
is uniformly convergent
nx+1
on [a,L], a >o but in only pointwise
Converg ent on [0,6].
If
fcx) = Sin nz
OKx8I, does there
exist KEN
Such that
Ans. K =1l](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8e800e17-db6f-4082-b034-ec069a142454%2Fcc27db7c-fe2c-41ee-a5aa-4333c32df640%2Fex4mav_processed.png&w=3840&q=75)
Transcribed Image Text:dssignment:
1. Show that the sequence Pfo}, where
fex) = tan hx, xzo in uniprmly
convergent on ony Interral [a,h], aso but
is only pointwise conrergent on [0,6].
Hint: (tonhx + cutnix = ).
%3D
ノ
2.
Show that the sequence fh}, where
farx) =
is uniformly convergent
nx+1
on [a,L], a >o but in only pointwise
Converg ent on [0,6].
If
fcx) = Sin nz
OKx8I, does there
exist KEN
Such that
Ans. K =1l
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