which-of-the-sequences-converges-1-a-n-n-1-n-2-a-n-1-n-1-n-1-n-

Question Number 66932 by Tinkutara@ last updated on 20/Aug/19

w h i c h o f t h e s e q u e n c e s c o n v e r g e s ?

1) a_{n} = n - \frac{1}{n}

2) a_{n} = ({(- 1)}^{n} + 1) (\frac{n + 1}{n})

Answered by turbo msup by abdo last updated on 21/Aug/19

1) (a_{n}) f i v e r g e s

2) a_{2 n} = 2 \frac{2 n + 1}{2 n} \to 2 a n d a_{2 n + 1} = 0

s o (a_{n}) d i v e r g e s