Thread: The sum of the trigonometric series...?

The sum ∑(from n = 1 to ∞) arctan [n/(n^4 - 2n^2 + 2)] is equal to:
A) (arctan 2 + arctan 3)/4
B) 4. (arctan 1)
C) -π/16
D) 3π/16

More than one options may be correct.

To be more precise, it is = ?

Originally Posted by fardeen_gen

The sum ∑(from n = 1 to ∞) arctan [n/(n^4 - 2n^2 + 2)] is equal to:
A) (arctan 2 + arctan 3)/4
B) 4. (arctan 1)
C) -π/16
D) 3π/16

More than one options may be correct.

None of them is correct.




A)

B)

C)

D)

One of the answers is definitely true - this was what my instructor told me. Are you sure wingless that the the given sum is not equal to any of the options??