Question: Solve the followings Let x = (-1) +-, neN. Define a = inf(S), where S = {x: k n+1}, ne N. Find lim a n

Solve the followings
Let ( x_{n}=(-1)^{n}+frac{1}{n}, n in mathbb{N} ). Define ( a_{n}=inf left(S_{n}ight) ), where ( S_{n}=left{x_{
Let ( x_{n}=5+(-1)^{n} cdotleft(1+frac{1}{n}ight), n in mathbb{N} ). Define ( b_{n}=sup left(S_{n}ight) ), whe

Let x = (-1) "+-, neN. Define a = inf(S), where S = {x: k n+1}, ne N. Find lim a n n n8

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