\sqrt[2]{n}<\sum_{i=1}^n \frac{1}{\sqrt[2]{i}} : n \geq 2
First lets prove this: \sum_{i=1}^n \frac{1}{\sqrt[2]{n}}<\sum_{i=1}^n \frac{1}{\sqrt[2]{i}} : n \geq 2
This should be self evident. We sum the same number of terms on each side, but on the right hand side we are summing terms of decreasing value, whereas on the left hand side we are summing terms that have the same value as the minimal right hand side term.
However the previous is the same as: \frac{n}{\sqrt[2]{n}}<\sum_{i=1}^n \frac{1}{\sqrt[2]{i}} : n \geq 2
Which is obviously: \sqrt[2]{n}<\sum_{i=1}^n \frac{1}{\sqrt[2]{i}} : n \geq 2
Name:
Anonymous2010-10-15 3:37
Prove:
\begin{equation} \sqrt{n} < \sum{i=1}^n \frac{1}{\sqrt{i}} : n \geq 2 \end{equation}
This should be self evident. We sum the same number of terms on each side, but on the right hand side we are summing terms of decreasing value, whereas on the left hand side we are summing terms that have the same value as the minimal right hand side term.
However the previous is the same as:
\begin{equation} \frac{n}{\sqrt{n}} < \sum{i=1}^n \frac{1}{\sqrt{i}} : n \geq 2 \end{equation}
Which is obviously:
\begin{equation} \sqrt{n} < \sum{i=1}^n \frac{1}{\sqrt{i}} : n \geq 2 \end{equation}
Name:
Anonymous2010-10-15 3:38
Prove:
\begin{equation} \sqrt{n} < \sum{i=1}^n \frac{1}{\sqrt{i}} : n \geq 2 \end{equation}
This should be self evident. We sum the same number of terms on each side, but on the right hand side we are summing terms of decreasing value, whereas on the left hand side we are summing terms that have the same value as the minimal right hand side term.
However the previous is the same as:
\begin{equation} \frac{n}{\sqrt{n}} < \sum{i=1}^n \frac{1}{\sqrt{i}} : n \geq 2 \end{equation}
Which is obviously:
\begin{equation} \sqrt{n} < \sum{i=1}^n \frac{1}{\sqrt{i}} : n \geq 2 \end{equation}
Name:
Anonymous2010-10-15 3:39
Prove:
\begin{equation} \sqrt{n} < \sum_{i=1}^n \frac{1}{\sqrt{i}} : n \geq 2 \end{equation}
This should be self evident. We sum the same number of terms on each side, but on the right hand side we are summing terms of decreasing value, whereas on the left hand side we are summing terms that have the same value as the minimal right hand side term.
However the previous is the same as:
\begin{equation} \frac{n}{\sqrt{n}} < \sum_{i=1}^n \frac{1}{\sqrt{i}} : n \geq 2 \end{equation}
Which is obviously:
\begin{equation} \sqrt{n} < \sum_{i=1}^n \frac{1}{\sqrt{i}} : n \geq 2 \end{equation}
Name:
Anonymous2010-10-25 15:25
\sum_0^\infty\frac{1}{i}=\text{4chan}
Name:
Anonymous2010-10-25 15:26
\int e^x\ dx
Name:
Anonymous2010-11-05 14:59
[tex]\begin{equation} \sqrt{n} < \sum{i=1}^n \frac{1}{\sqrt{i}} : n \geq 2 \end{equation}[/tex]
Name:
Anonymous2010-11-07 6:33
\sqrt{n} < \sum{i=1}^n \frac{1}{\sqrt{i}} : n \geq 2