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The value of 0 . 16 log 2 . 5 1 3 + 1 3 2 + 1 3 3 + … . ∞ is __________

Correct answer

0

Step-by-step solution

0 . 16 log 2 . 5 1 3 + 1 3 2 + 1 3 3 + … . ∞ = 0 . 16 log 2 . 5 1 3 1 - 1 3 = 4 25 log 5 2 1 2 = 5 2 - 2 log 5 2 1 2 = 1 2 - 2 = 4

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