Bestäm det största talet $c \in \mathbf{R}$, för vilket serien $$ \sum_{n=1}^{\infty} \frac{1}{n (\log(n)^p)} $$ konvergerar om $p>c$. (Om du anser att ett sådant tal inte finns, svara med $-1$.)
5.- Serier - Cauchytestet (Envariabelanalys M)
Något mindre än $1/n$
Typing functional expressions
Functional expressions are largely written as by hand. Functions must
be written with parentheses: i.e. sin(x), not sin x.
Some special functions
- $\sqrt{x}$ is written
sqrt(x) - $e^x$ is written
exp(x) - $|x|$ is written
abs(x)
Exponents are written using ^: e.g. $2^{x+y}$ is wrtten as 2^(x+y).
Place parentheses where needed: $\dfrac{x+y}{1+x}$ is written as (x+y)/(1+x)
Multiplication sign may but do not have to be explicitly written out:
$x\cdot y$ may be written as xy or x*y.