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- Chapter 03 - Limits and Continuity
- - Limits and Continuity ====== * Limit of the function, examples and definition * Theorem: Suppose (i)... s unique. * Theorem: Suppose that a real valued function //f// is defined on an open interval //G// except... Theorem): Suppose that //f//, //g// and //h// are functions defined on an open interval //G// except possibl... Theorem: Let $f_1,f_2,f_3,...,f_k$ be real valued functions on a metric space //X// and $\underline{f}$ be a
- Chapter 04 - Differentiation
- 04 - Differentiation ====== * Derivative of a function * Theorem: Let //f// be defined on [//a//,//b//... m (derivative of sum, product and quotient of two functions) * Theorem (Chain Rule) * Examples * Local... tion * Riemann differentiation of vector valued function * Theorem: Let //f// be a continuous mapping of