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Question: prove that the function is not lipschitz continuous on 11...

Question details

Prove that the function y = \sqrt{1-x^{2}} is not Lipschitz continuous on [-1,1]. I want to find a solution other than starting the proof with \left | \sqrt{1-x_{1}^{2}}- \sqrt{1-x_{2}^{2}} \right | = \left | \frac{(1-x_{1}^{2})-(1-x_{2}^{2})}{\sqrt{1-x_{2}^{2}}+ \sqrt{1-x_{2}^{2}}} \right |

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