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(1-cosn)/(n^2+n-1)
  • How to use it?

  • Sum of series:
  • n^2/3^n n^2/3^n
  • (-1)^n/n (-1)^n/n
  • (n^3+n+5)/(n+2) (n^3+n+5)/(n+2)
  • 28 28
  • Identical expressions

  • (one -cosn)/(n^ two +n- one)
  • (1 minus co sinus of e of n) divide by (n squared plus n minus 1)
  • (one minus co sinus of e of n) divide by (n to the power of two plus n minus one)
  • (1-cosn)/(n2+n-1)
  • 1-cosn/n2+n-1
  • (1-cosn)/(n²+n-1)
  • (1-cosn)/(n to the power of 2+n-1)
  • 1-cosn/n^2+n-1
  • (1-cosn) divide by (n^2+n-1)
  • Similar expressions

  • (1-cosn)/(n^2+n+1)
  • (1+cosn)/(n^2+n-1)
  • (1-cosn)/(n^2-n-1)

Sum of series (1-cosn)/(n^2+n-1)



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The solution

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  oo            
____            
\   `           
 \    1 - cos(n)
  \   ----------
  /    2        
 /    n  + n - 1
/___,           
n = 1           
$$\sum_{n=1}^{\infty} \frac{1 - \cos{\left(n \right)}}{\left(n^{2} + n\right) - 1}$$
Sum((1 - cos(n))/(n^2 + n - 1), (n, 1, oo))
The rate of convergence of the power series
The graph
Sum of series (1-cosn)/(n^2+n-1)

    Examples of finding the sum of a series