1. Show that the function, defined for x E R by f(x) = 1 n2 1 is uniformly continuous on R.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Using example in photo1, solve the same way showing sidework(rightside) and proof(leftside) of the problem in photo2

1. Show that the function, defined for x E R by f(x) =
1
is uniformly continuous
on R.
1+x²
Transcribed Image Text:1. Show that the function, defined for x E R by f(x) = 1 is uniformly continuous on R. 1+x²
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->
Ther' fisunif.camd ón
ILトン
E Eつ0, @t fa-[ra)
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nen fx uE[Ltン-
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い
ハ1X-a16
35
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Knリベx
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fisunif-cnt.on Ei.
Cor
Transcribed Image Text:f:L 9k; foこ5 -> Ther' fisunif.camd ón ILトン E Eつ0, @t fa-[ra) forl-[ra) fart- -41- 1x-ul nen fx uE[Ltン- u4lielx-al1にu X-u =回ナー対 い ハ1X-a16 35 ーア in br. (1 Knリベx L es) fisunif-cnt.on Ei. Cor
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