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