Question

the series 1+1/10+1/100+1/1000 is...
1.convergent
2.divergent
3.oscillating finitely​

Answer 1

Answer:

it is occilating finitely

Answer 2

$\huge {\bf {\underline {Question}}}$

The series 1+1/10+1/100+1/1000 is...

1.convergent

2.divergent

3.oscillating finitely

$\huge {\bf {\underline {Answer}}}$

$\rm {Oscillating\:finitely}$

$\rm {\underline {Extra\:Information}}$

Oscillation of a sequence

Let ${\displaystyle (a_{n})}$ be a sequence of real numbers. The oscillation ${\displaystyle \omega (a_{n})}$of that sequence is defined as the difference (possibly infinite) between the limit superior and limit inferior of ${\displaystyle (a_{n})}$:

${\displaystyle \omega (a_{n})}$ = lim sup $a_n$ - lim inf $a_n$