Let (a_n) be a convergent sequence with limit L and let k be a natural number. Show that (a_n+k) is also convergent with limit L. Any help would be greatly appreciated
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limit L or limit L + K ?
Originally Posted by sakuraxkisu Let (a_n) be a convergent sequence with limit L and let k be a natural number. Show that (a_n+k) is also convergent with limit L. I am sure that he/she means .
The sequence converges to L means that, given any there exist an integer N such that if n> N, . For the sequence just shift N to N+k
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