日本留学試験／EJU 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 Section 2If you wou...
日本留学試験／EJU 日本留学試験／EJU 2018年 第2回 日本留学試験 数学 コース1 (基本コース) 解答／2018 2nd EJU Mathematics Course 1 (Basic Course) solutions
Section 1Q1Section 2あくまで参考程度でお使いください。もし何か間違いや他の解答例がありましたら、こちらからお知らせ頂けるとありがたいです。Please use it as a just reference. Some o...
日本留学試験／EJU Special Types Recurrence Equations
Special types of Recurrence EquationsSeems this is one of the most difficult topics in EJU mathIf you want to know 3 bas...
日本留学試験／EJU Recurrence Equations for Arithmetic, Geometric and Differences Progressions
Basic 3 PatternsArithmetic Progression$$a_{n+1}-a_n=d$$This is the recurrence equation of Arithmetic ProgressionExample ...
日本留学試験／EJU Dot Product
Definition of dot product$$\vec{a}・\vec{b}=|\vec{a}||\vec{b}|\cos{\theta}$$We should not think dot product is nature thi...
日本留学試験／EJU Quadrature by Parts
Quadrature by Parts (区分求積法)This is very similar way to calculate the area by IntegrationLet's take a look the formula fi...
未分類 How to get asymptotes of Rational Function
AsymptotesThere are 2 kinds of asymptotes, vertical and horizontal ones.Vertical AsymptoteMathematically any denominator...
日本留学試験／EJU Integration by Parts
What is itWhen there are 2 functions(composite function) in an integration operator, we can use the method, Integration ...
未分類 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}{3} +\frac{1}{4} ...
未分類 Euler’s Identity
One of the most beautiful things in MathIt might not be such special thing for you. But I would like to remember how to ...