remark 7.21 rem:ana-discontinuities

open in the book · parts/02-mathematical-methods/05-real-analysis.tex:339 · p. 207

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remark 7.21: rem:ana-discontinuities7.21definition 7.20: Continuity at a point7.20definition 7.16: Limit7.16equation 7.7: eq:ana-limit-left7.7equation 7.5: eq:ana-limit-right7.5definition 7.98: Functions of class C^17.98lemma 9.6: Weierstrass M-test; uniform limits are continuous9.6proposition 7.105: Clairaut–Schwarz7.105proposition 7.145: Delta as a limit; elementary properties7.145proposition 7.27: Differentiable implies continuous7.27proposition 7.22: Sequential characterization7.22remark 7.101: Partial derivatives alone do not suffice7.101theorem 7.23: Intermediate value theorem7.23definition 7.2: Absolute value7.2definition 7.9: Real function7.9definition 7.26: Derivative of a function at a point7.26definition 7.99: Differentiability at a point7.99definition 7.19: Infinite limits7.19definition 9.86: Outer and inner expansions; matching9.86proposition 7.18: Two-sided limit from one-sided limits7.18remark 7.17: rem:ana-limit-punctured7.17theorem 7.37: Cauchy mean value theorem and l'Hôpital's rule7.37

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