f(0)=1,f(n)=nf(n-1)(n∈N+),求f(4)

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/20 12:02:31
f(0)=1,f(n)=nf(n-1)(n∈N+),求f(4)
x)K0д5I|gn~PS#QGγMi&6IED/!dCM[(H,j0ִ5kٚAEM4mM&ZfF&6yvP'؀9  ]iyP} X h { <ٽɎ{|';gtt`k)>l; ,lt}

f(0)=1,f(n)=nf(n-1)(n∈N+),求f(4)
f(0)=1,f(n)=nf(n-1)(n∈N+),求f(4)

f(0)=1,f(n)=nf(n-1)(n∈N+),求f(4)
f(1)=f(0)=1
f(2)=2f(1)=2
f(3)=3*f(2)=3*2=6
f(4)=4*f(3)=4*6=24

f(n)/f(n-1)=n
f(n-1)/f(n-2)=n-1
......
f(1)/f(0)=1,
以上式子相乘,得f(n)=f(0)*n!
所以f(4)=f(0)*4!=24.