Uniformly Continuous on $C^1[a,b]$

Hint

Some cooking ingredients...

  • A continuous map on a bounded interval is bounded. I let you know to which map this should be applied.
  • The mean value theorem may be your friend.
  • A lischitz map is uniformly continuous.

I let you use the ingredients for a good recipe.

Tags:

Continuity

Real Analysis

Uniform Continuity

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