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Find the error when approximating:

$$\sum _{ n=1 }^{ \infty }{ ( -1 ) ^{ n+1 }\cfrac { 1 }{ n } } $$

...using the first five terms.

A

$-\cfrac{1}{6}$

B

$\cfrac{1}{5}$

C

$\cfrac{1}{6}$

D

$\cfrac{47}{60}$

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