Problem #$3$: Find all values $ofp$ such that the following series $is$ convergent.

${\displaystyle \underset{n=1}{\overset{}{}}}\frac{1}{n^{\frac{7}{p}}}$

$(A)p7p\frac{1}{7}p>\frac{1}{7}p>70$

$(F)p\frac{1}{7}$

$(G)p>\frac{1}{7}$

$(H)p>7$

Problem #$3$:

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$(D)p7$

$(E)0$

$(F)p\frac{1}{7}$

$(G)p>\frac{1}{7}$

$(H)p>7$

Problem #$3$:

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$(C)0$

$(D)p7$

$(E)0$

$(F)p\frac{1}{7}$

$(G)p>\frac{1}{7}$

$(H)p>7$

Problem #$3$:

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$(B)0$

$(C)0$

$(D)p7$

$(E)0$

$(F)p\frac{1}{7}$

$(G)p>\frac{1}{7}$

$(H)p>7$

Problem #$3$:

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