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Re: Sinh[y]/y as y->0?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg33494] Re: Sinh[y]/y as y->0?
  • From: Erk Jensen <Erk.Jensen at cern.ch>
  • Date: Sun, 24 Mar 2002 01:43:45 -0500 (EST)
  • References: <a7csli$i0t$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

aes wrote:
> 
> A particular calculation produces at an early stage the intermediate result
> 
>    p1 = (Sin[x]/x) + (Sinh[y]/y) ,        (x and y both real)
> 
> and this result then feeds into further expressions in a lengthy symbolic
> calculation.
> 
> When I try to do any numerical evaluations of the final expressions with either
> x or y = 0, I get "Indeterminate expression" or "infinity 1/0" error messages,
> even though the expressions themselves, like the expression above, are perfectly
> determinate and finite for those limits.
> 
> Any simple way to make this expression behave as it should under numerical
> evaluation?

Look here
Normal[Series[(Sin[x]/x) + (Sinh[y]/y), {x, 0, 4}, {y, 0, 4}]]
for a series approximation

Ciao
     -erk-


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