Saturday, April 22, 2017

Real Analysis Solutions (Uniform Continuity -1)

Some examples of uniformly continuous and non uniformly continuous functions on (0,1)


Uniformly continuous functions
 
  •  e^x 
  •  sin(x)
  •  cos(x) 
  • x sin(1/x)
  •  (sin x)/x 
  • x

Non uniformly continuous functions

  •  tan(πx/2) 
  •  sin(1/x)
  •  (cos x)/x
  • 1/x



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