Difficult product problem $\prod \limits^{2014}_{k=1}\left( 1-\frac{1}{k^{2}} \right)$

Question

Evaluate the product $$\prod \limits^{2014}_{k=1}\left( 1-\frac{1}{k^{2}} \right)$$

Any help will appreciated!

assuming k starts from 2... http://math.stackexchange.com/questions/265483/evaluating-the-infinite-product-prod-k-2-infty-left-1-frac1k2-r?lq=1 — Noam Shalev, Aug 04 '15 at 21:07

score -1 · Answer 1 · answered Aug 04 '15 at 21:05

-1

The answer is $0$, since when $k=1$, $1-\frac{1}{k^2}=0$.

answered Aug 04 '15 at 21:05

Guest

1 Answers1