Convergence of a seriesDoes this series converge? ∑ x = 2 n ( 1 x ) ( 1 x ) I tried hard but stil had problems...Could someone help me?

Question

Convergence of a seriesDoes this series converge?      ∑          x      =      2        n              (              1        x            )                      (                  1          x                )            I tried hard but stil had problems...Could someone help me?

America Barrera · Accepted Answer

Write  (  1      /    x      )          1              /            x        =      e                            ln          ⁡          (          1                      /                    x          )                x              .Now use L&#039;Hospitals rule (or somethine else) to show that your summands converge to 1 for    x  →  ∞ Therefore, the series can not converge.BTW: I assumed you meant       ∑          x      =      2              ∞        (  1      /    x      )          1              /            x

kokoszzm · Accepted Answer

Hint:   0  &amp;lt;  x  ,  α  &amp;lt;  1

Convergence of a series Does this series converge? <munderover> ∑ <

Answered question

Answer & Explanation

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