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The value of the product 6½ × 6¼ × 61/8 × 61/16 × … up to infinite terms is -
6
36
216
512
6½.61¼.61/8…..
= 61/2+1/4+1/8…
= 6½ / 1-½ [a = ½ , r = ½ ] = 61 = 6
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