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# Series

Q.The value of the infi nite product

P = (7/9)×(26/28)×(63/65)×……×(n^3 – 1/n^3 + 1)…………………    

Note by Shailendra Sahu
4 years, 9 months ago

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2/3 (from Putnam exam) Hint : Telescoping Sum

- 4 years, 9 months ago

Pretty obvious actually

- 4 years, 9 months ago

plz tell me the solution

- 4 years, 9 months ago

Step 1: Factor the numerator and denominator.

Step 2: use (k+2)-1=k-1 and $$(k + 1)^{2} - (k + 1) + 1 = k^{2} + k + 1$$

Step 3 : cancel and get 2/3

- 4 years, 9 months ago