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5. Let f : [0, 0) R be defined by f(x) = x+ 2 Prove that f is uniformly contin- %3D uous on (0, 00).

5. Let f : [0, 0) R be defined by f(x) = x+ 2 Prove that f is uniformly contin- %3D uous on (0, 00).

Advanced Engineering Mathematics
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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Real Analysis 1- Using the 2nd photo solution as an example, solve similarly the problem 5

Sidewes rk . For x,uE R, I fx)flu)| = %3D 1 Prol: For (70 arbitrary, u SEe, he to x tl %3D x-u 1x1 IHR? Itu? Ixl. lul (see sidework) EX-ul(+) lxl+lul bic +. It4? 1+x? bic (I tu? I[X-ullco>l1faxl - fiullk E continuas on R :2145 Ht? cniluscm: f isuniformly
Transcribed Image Text:Sidewes rk . For x,uE R, I fx)flu)| = %3D 1 Prol: For (70 arbitrary, u SEe, he to x tl %3D x-u 1x1 IHR? Itu? Ixl. lul (see sidework) EX-ul(+) lxl+lul bic +. It4? 1+x? bic (I tu? I[X-ullco>l1faxl - fiullk E continuas on R :2145 Ht? cniluscm: f isuniformly
5. Let f : [0, o0)→ R be defined by f(r) Prove that f is uniformly contin- x + 2 uous on (0, o0).
Transcribed Image Text:5. Let f : [0, o0)→ R be defined by f(r) Prove that f is uniformly contin- x + 2 uous on (0, o0).
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