Mister Exam

Other calculators

  • How to use it?

  • Sum of series:
  • sin(n*x)/n^3
  • log(1+1/n) log(1+1/n)
  • x^(n-1)/factorial(n-1)
  • factorial(n)^2/factorial(k^n)
  • Identical expressions

  • factorial(n)^ two /factorial(k^n)
  • factorial(n) squared divide by factorial(k to the power of n)
  • factorial(n) to the power of two divide by factorial(k to the power of n)
  • factorial(n)2/factorial(kn)
  • factorialn2/factorialkn
  • factorial(n)²/factorial(k^n)
  • factorial(n) to the power of 2/factorial(k to the power of n)
  • factorialn^2/factorialk^n
  • factorial(n)^2 divide by factorial(k^n)

Sum of series factorial(n)^2/factorial(k^n)



=

The solution

You have entered [src]
  oo       
____       
\   `      
 \       2 
  \    n!  
   )  -----
  /   / n\ 
 /    \k /!
/___,      
n = 1      
$$\sum_{n=1}^{\infty} \frac{n!^{2}}{\left(k^{n}\right)!}$$
Sum(factorial(n)^2/factorial(k^n), (n, 1, oo))

    Examples of finding the sum of a series