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Analysis I, section 5 - Final Exam (12/17/2013) [100 marks]Name:Please justify all your answers, unless otherwise instructed. No calculators allowed.Duration: 100 minutes.1. Provide precise definition for the following objects (3 marks each):
2. Formulate the following theorems precisely (you do not have to prove them! 5 marks each)•Bolzano-Weierstrass theorem•Chain rule•Rolle’s Theorem•Comparison Theorem for Riemann integrals•Ratio test
3. State both parts of the Fundamental Theorem of Calculus and prove one of the two statements (whichever youwish). (15 marks)