MathGroup Archive 2002

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Re: Disturbing products

  • To: mathgroup at smc.vnet.net
  • Subject: [mg33329] Re: Disturbing products
  • From: Tomas Garza <tgarza01 at prodigy.net.mx>
  • Date: Sat, 16 Mar 2002 01:40:06 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

In a recent message to this group ([mg33251] Animation), Juan Erfa posed 
a question which has not received any comment from this group. 
Essentially, the problem is

In[1]:=
Product[(1 + 1/n)^2, {n, Infinity}]
Out[1]=
1

In[2]:=
Limit[Product[(1 + 1/n)^2, {n, k}], k -> Infinity]
Out[2]=
Infinity

The first output is wrong, while the second is right.

Any idea about this apparent bug?

Tomas Garza
Mexico City



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