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Question

Prove that: (21/4 . 41/8 . 81/16. 161/32 ... ∞) = 2.

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Solution

LHS=214.428.8316.16432 ...=214+28+316316432.=2122+223+324+425 + ...=21221+22+322+423 ...=212211-12+1.121-122=21222+2=21=2=RHS

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