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Practice Questions: Sequence Special Type: Log

\(Q1\) $$a_1=2, a_{n+1}=a_n^2$$ You will see a similar problem in EJU Math advanced course 2 2011 1st Se...
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Special Types Recurrence Equations

Special types of Recurrence Equations Seems this is one of the most difficult topics in EJU math ...
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Recurrence Equations for Arithmetic, Geometric and Differences Progressions

Basic 3 Patterns Arithmetic Progression $$a_{n+1}-a_n=d$$ This is the recurrence equation of A...
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Dot Product

Definition of dot product $$\vec{a}・\vec{b}=|\vec{a}||\vec{b}|\cos{\theta}$$ We should not th...
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Quadrature by Parts

Quadrature by Parts (区分求積法) This is very similar way to calculate the area by Integration Let's take ...
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How to get asymptotes of Rational Function

Asymptotes There are 2 kinds of asymptotes, vertical and horizontal ones. Vertical Asymptote Mathemati...
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Integration by Parts

What is it When there are 2 functions(composite function) in an integration operator, we can use the method,...
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Why Is Harmonic Series the Divergent Infinite Series

By the way what is Harmonic Series?? $$\sum^{\infty}_{n=1}\frac{1}{n}=\frac{1}{1} +\frac{1}{2} +\frac{1}...
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Euler’s Identity

One of the most beautiful things in Math It might not be such special thing for you. But I would like to...
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How to Change Keyboard Language (Japanese)

If you would like to add Japanese keyboard on your laptop, here is the directions for you. How to add Japanese ...
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