Originally Posted by
RockHard Also to further tonio's example because I need to learn this as well, you can the limit of his solution which can be easily done by taking the derivative
$\displaystyle \sum_{i=1}^{\infty}\frac{1}{n}
$
but first we know by one theorem you can write the sequence, lets called it $\displaystyle a_n$, as a $\displaystyle f(x)$
$\displaystyle \lim_{x\to\infty}\frac{1}{x}
$
take the derivative of this function which is simply
$\displaystyle \ln(x)$
then we have $\displaystyle \lim_{x\to\infty}\ln(x)
$
Which we should know but remembering the graph of this function or plotting out some terms on a graph as X increases for values greater than 0 reaches no finite term, aka positive infinity