this is for holding javascript data
Dayo Ogundipe edited paragraph_Question_2_a_Show__.tex
over 8 years ago
Commit id: f7102ed4e00b306ed3702e1eee6e8ff5c896f3d2
deletions | additions
diff --git a/paragraph_Question_2_a_Show__.tex b/paragraph_Question_2_a_Show__.tex
index e19cb7b..9d4f0d5 100644
--- a/paragraph_Question_2_a_Show__.tex
+++ b/paragraph_Question_2_a_Show__.tex
...
Since \[ \frac{1}{n} > \frac{1}{n+1} \] for $n \geq 1$
\\x(n) naturally starts off
greater and only small increments are greater. The denominator of the fraction being
added. added increases for each x(n) and x(n+1) so the sequence converges.
\\ $\therefore x(n)=\frac{1}{n}+\frac{1}{n+1}+\ldots +\frac{1}{2n}$ is monotone decreasing.