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Student Support Forum: 'Illegal breaking of Sqrt in Series' topicStudent Support Forum > General > "Illegal breaking of Sqrt in Series"

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M
12/27/10 2:19pm

Hi

Mathematica doesn't break square roots like Sqrt[a b] to Sqrt[a] Sqrt[b] unless a and b are positive. But why is it doing the following?

Series[Sin[Sqrt[a/b]], {a, 0, 1}]
{N[Sin[Sqrt[a/b]]], Normal[%]} /. {a -> -.1,b -> -1}

Sqrt[1/b] Sqrt[a]+O[a]^(3/2)
{0.310984,-0.316228+0. I}

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Subject (listing for 'Illegal breaking of Sqrt in Series')
Author Date Posted
Illegal breaking of Sqrt in Series M 12/27/10 2:19pm
Re: Illegal breaking of Sqrt in Series Forum Modera... 01/02/11 5:02pm
Re: Re: Illegal breaking of Sqrt in Series M 01/02/11 6:26pm
Re: Illegal breaking of Sqrt in Series Forum Modera... 01/03/11 4:47pm
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