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find the sum of the series,if the number of terms is infinite:

1/2.4+1/4.6/+1/6.8+1/8.10+....
sir answer 1/4

1 answer

Your sum is

1/2^2 (1/1.2 + 1/2.3 + 1/3.4 + ...)

= 1/4 ∑ 1/(k(k+1))

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