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       <dc:date>2026-06-06T23:45:56+00:00</dc:date>
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
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        <title>Some important series of functions</title>
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        <description>Some important series of functions

On this page we are going to post some series of functions, which are used in mathematics at undergraduate level.

	*  $\sinh x =  x +  \frac{x^3}{3!} + \frac{x^5}{5!} + \frac{x^7}{7!} +... \qquad -\infty &lt;x&lt; \infty$
	*  $\cosh x =  1 + \frac{x^2}{2!} + \frac{x^4}{4!} + \frac{x^6}{6!} +... \qquad -\infty &lt;x&lt; \infty$
	*  $\tanh x =  x -  \frac{x^3}{3} + 2\frac{x^5}{15} - 17\frac{x^7}{315} +... \qquad \left |x\right |&lt; \frac{\pi}{2}$
	*  $\coth x =  \frac{1}{x} …</description>
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        <dc:date>2025-01-21T16:13:55+00:00</dc:date>
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        <title>Chapter 01: Real Numbers, Limits and Continuity</title>
        <link>https://beta.mathcity.org/bsc/notes_of_calculus_with_analytic_geometry/ch01_real_numbers_limits_and_continuity?rev=1737476035&amp;do=diff</link>
        <description>Chapter 01: Real Numbers, Limits and Continuity

[Chapter 01 of Calculus with Analytic Geometry]
Notes of the book Calculus with Analytic Geometry written by Dr. S. M. Yusuf and Prof. Muhammad Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. 

The notes of this chapter is written by Prof. $\mathbb{R}$$\mathbb{R}$$\mathbb{R}$</description>
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        <title>Syllabus &amp; Paper Pattern for General Mathematics (Split Program)</title>
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        <description>Syllabus &amp; Paper Pattern for General Mathematics (Split Program)

There was one examination after two years for BA/BSc Program from University of Punjab (PU), Lahore but from this year (2016), PU has made changes in its examination policies for the said program. The BA/BSc Program has been split into two parts. Syllabus is break into two part year wise. After the each year of the program candidate has to appeared in examination instead of appearing after two year. In this regards syllabus of Gen…</description>
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