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Use the fact that there exist n element of N such that 0 < 1/n < y to prove the following: prove the following -

Use the fact that there exist n element of N such that 0< 1/n < y to prove the following:

prove the following 1. \( \bigcup_{n=1}^{\infty}\left[\frac{1}{n}, 1-\frac{1}{n}ight]=(0,1) \) 2. \( \bigcup_{n=1}^{\infty} 

prove the following - n= n. 1. U%-1 [1,1 ] = (0,1) 2. Un=1 (0,)= (0,1) 3. n1(0, ) = 0 n'

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