proof ch:05-real-analysis@proof-32

open in the book · parts/02-mathematical-methods/05-real-analysis.tex:1021

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proof : ch:05-real-analysis@proof-32prooftheorem 7.51: Termwise differentiation7.51proposition 7.47: Comparison; absolute convergence7.47proposition 7.27: Differentiable implies continuous7.27proposition 7.48: Ratio test7.48proposition 7.6: Algebra of limits7.6theorem 7.50: Power series; radius of convergence7.50definition 7.74: π7.74lemma 7.93: A polynomial has at most n roots7.93lemma 7.71: Derivatives; the Pythagorean identity7.71lemma 7.75: The first quadrant7.75proposition 9.22: The exponential and its derivative9.22

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proves Termwise differentiation declared parts/02-mathematical-methods/05-real-analysis.tex:1021