LIPSCHITZ CONDITION AND UNIFORM CONTINUITY | GEOMETRICALLY | REAL ANALYSIS | BARTLE & SHERBERT

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Geometrical Relation between Lipschitz Condition and Uniform Continuity

f(x)=sqrt(x) is uniformly continuous on [0,\infty)

Theory of Real Functions
Bartle & Sherbert
Real Analysis
B.SC (H) Mathematics Sem III
University of Delhi

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ahmedBilal-pspu
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If, | f(x n) - f(y n) | >=0 how can we say that
| f(x nki) - f(y nki) | >= 0 ?

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