Sunday, 23 March 2014

factorial - How find the limit of limlimitsntoinftyleft(n1right)!

I have the next limit: limn(n(n!1n!+1)(n+1)!)



I had done some steps and simplified it to:
limn(12n!+1)(n+1)(n1)!=limn(11(n(n1)!+1)0.5)(n+1)(n1)!




And my final result is:



limn(1e)3n+2+1(n1)!2



My question is what happens to 1(1)!? Is it 0?

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