Find a closed form for each of the following series and the largest set on which this

Question:

Find a closed form for each of the following series and the largest set on which this formula is valid.
a)
Find a closed form for each of the following series

b)

Find a closed form for each of the following series

c)

Find a closed form for each of the following series

d)

Find a closed form for each of the following series
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