# Two divergent sequences like {xk},{yk}\{x_k\},\{y_k\} such that limk→∞|yk−xk|=0\lim_{k \rightarrow \infty}|y_k-x_k|=0 [on hold]

A sequence with a limit that is a real number is called a convergent sequence.

A sequence which does not converge is said to be divergent.

Find two divergent sequences like \{x_k\},\{y_k\}\{x_k\},\{y_k\} such that \lim_{k \rightarrow \infty}|y_k-x_k|=0\lim_{k \rightarrow \infty}|y_k-x_k|=0 .

Notice that we know \forall k \in \mathbb N \space 0 \lt |y_k-x_k|\forall k \in \mathbb N \space 0 \lt |y_k-x_k|

Note ( For those who ask about my try ) : There is nothing to try! If my try was successful, I wouldn’t be asking this question.

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