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Chapter 03 - Limits and Continuity @msc:real_analysis_notes_by_syed_gul_shah
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- 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... e sum and product of two continuous vector valued function are also continuous. * Discontinuities ====
Real Analysis: Short Questions and MCQs @msc:mcqs_short_questions
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set $A$ is said to be countable if there exists a function $f:A\to \mathbb{N}$ such that * (A) $f$ is bi... == <panel> 1. A number $L$ is called limit of the function $f$ when $x$ approaches to $c$ if for all $\varep
Number Theory by Ms. Iqra Liaqat @msc:notes
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perty * Multiple * Divisibility * The floor function and ceiling function * The division algorithm * Div and mod operators * Basic representation theorem
Chapter 04 - Differentiation @msc:real_analysis_notes_by_syed_gul_shah
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04 - Differentiation ====== * Derivative of a function * Theorem: Let //f// be defined on [//a//,//b//... tion * Riemann differentiation of vector valued function * Theorem: Let //f// be a continuous mapping of
Preparation Guide @msc:syllabus:uos
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y those exercises related to maxima and minima of function $z= f(x,y)$ ) of Calculus and analytic Geometry