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For the following telescoping series, find a formula for the nth term of the sequence of partial sums {S }. Then evaluate lim S to

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For the following telescoping series, find a formula for the nth term of the sequence of partial sums {S }. Then evaluate lim S to obtain the value of the series or state that the series diverges. n-+00 5 5 Vk+ 4 vk +6 k = 1 S = (Type an exact answer, using radicals as needed.)

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