Got a trouble with the Limit[]
- To: mathgroup at smc.vnet.net
- Subject: [mg22760] Got a trouble with the Limit[]
- From: "mason" <mhl at tpts1.seed.net.tw>
- Date: Fri, 24 Mar 2000 03:28:09 -0500 (EST)
- Sender: owner-wri-mathgroup at wolfram.com
Dear all,
I had a trouble presenting the limit of a multiple defined function.
I set f[n_,x_]:=(1-(1+x)^-n)/x /; x>0&&x<1;
f[n_,x_]:=0 /; x<=0 || x>=1;
But I don't know how to show that
Limit[f[n_,x_], n->Infinity] equals to 1/x, when 0<x<1
Limit[f[n_,x_], n->Infinity] equals to 0, elsewhere.
Regards
Mason Lee