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Find the Sum of the Series n=21n21\sum _ { n = 2 } ^ { \infty } \frac { 1 } { n ^ { 2 } - 1 }

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Find the sum of the series n=21n21\sum _ { n = 2 } ^ { \infty } \frac { 1 } { n ^ { 2 } - 1 } .


Definitions:

Short

In finance, taking a position in which you sell a security you do not own, with the intention of buying it back at a lower price.

Equity Securities

Financial assets that represent shares of ownership in a corporation, such as stocks, granting holders a claim on the corporation’s profits and assets.

Capital Markets

Markets where savings and investments are channeled between suppliers who have capital and those who are in need of capital.

Money Markets

Sections of the financial market where short-term financial instruments with high liquidity are traded.

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