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complex analysis - tricky question on poles.
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The Racist Dragon
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Let f and g be functions with a pole at c. Create rules (and prove them) about how we can combine f and g at c.
and ii: Find the poles of the function :
and classify these poles using part i.
I have attempted this, but I keep getting poles of negative order in part ii and my course apparently doesn't focus on poles of negative order so I must have gone wrong somewhere!
and ii: Find the poles of the function :
and classify these poles using part i.
I have attempted this, but I keep getting poles of negative order in part ii and my course apparently doesn't focus on poles of negative order so I must have gone wrong somewhere!
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davros
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#2
(Original post by The Racist Dragon)
Let f and g be functions with a pole at c. Create rules (and prove them) about how we can combine f and g at c.
and ii: Find the poles of the function :
and classify these poles using part i.
I have attempted this, but I keep getting poles of negative order in part ii and my course apparently doesn't focus on poles of negative order so I must have gone wrong somewhere!
Let f and g be functions with a pole at c. Create rules (and prove them) about how we can combine f and g at c.
and ii: Find the poles of the function :
and classify these poles using part i.
I have attempted this, but I keep getting poles of negative order in part ii and my course apparently doesn't focus on poles of negative order so I must have gone wrong somewhere!
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The Racist Dragon
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#3
(Original post by davros)
Have you started by rewriting cot z = cos z / sin z and sin2z = 2sinzcosz and simplifying?
Have you started by rewriting cot z = cos z / sin z and sin2z = 2sinzcosz and simplifying?
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davros
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#4
(Original post by The Racist Dragon)
*sigh* that's probably where I went wrong, I simplified most of it but forgot that sin2z=2sinzcosz, but is it legal to expand sin2z too? There was nothing wrong with the taylor series for sin2z..!
*sigh* that's probably where I went wrong, I simplified most of it but forgot that sin2z=2sinzcosz, but is it legal to expand sin2z too? There was nothing wrong with the taylor series for sin2z..!
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Smaug123
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(Original post by The Racist Dragon)
*sigh* that's probably where I went wrong, I simplified most of it but forgot that sin2z=2sinzcosz, but is it legal to expand sin2z too? There was nothing wrong with the taylor series for sin2z..!
*sigh* that's probably where I went wrong, I simplified most of it but forgot that sin2z=2sinzcosz, but is it legal to expand sin2z too? There was nothing wrong with the taylor series for sin2z..!
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