1-find-n-1-0-1-n-2-find-n-2-1-n-1-1-n-

Question Number 67057 by Tony Lin last updated on 22/Aug/19

(1) f i n d \cap_{n = 1}^{\infty} [0, \frac{1}{n})

(2) f i n d \cup_{n = 2}^{\infty} [\frac{1}{n}, 1 - \frac{1}{n}]

Answered by Kunal12588 last updated on 22/Aug/19

(1) = [0, 1] \cap [0, \frac{1}{2}) \cap [0, \frac{1}{3}) \cap \dots \infty t e r m s = {0}

(2) = [\frac{1}{2}, \frac{1}{2}] \cup [\frac{1}{3}, \frac{2}{3}] \cup [\frac{1}{4}, \frac{3}{4}] \cup \dots \cup [0, 1] = [0, 1]

a r e t h e y c o r r e c t

i {d o n}^{'} t h a v e a n y e x p e r i e n c e o f s o l v i n g t h e s e

t y p e o f q u e s t i o n s . {d o n}^{'} t e v e n k n o w m e a n i n g

o f \cup_{n = 1}^{\infty}

Commented by Tony Lin last updated on 22/Aug/19

y e a h, y o u r a n s w e r i s c o r r e c t