Hi
 
how i can proof this equation?
 
(((-1)^n)(n!)) / (x+n)! = ((-1)^n)(x-1)^(n+1)
 
thank you
 
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1 Answer

It can’t be proven because it’s  not true!

Let n=3 and x=2:

-3!/5!=-1/20 but the right-hand side is -1.

So the equation is not generally true. That implies there may be x and n values for which it is true. In fact, it is true for x=0 and n is any odd integer>0.
by Top Rated User (646k points)

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