Hi guys: just needed some verification on my working out for the following problem:
Question:
Using Cauchy Riemann prove that the function h(z)=sin(Imz) is not differentiable at any point of the strip
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My Solution: Please check to see whether it is correct or not.
let
and
...
, ...
for CR conditions to be fulfilled, and
0 = 0 but
both the CRE conditions aren't fulfilled so the function is not differentiable at any point of the strip
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is this correct?
thanks
im confused here. the question says show that the function h(z) is not differentiable at any point of the range.
but we have just proved that the CR equations are satisfied in the range specified and therefore the function is infact differentiable.
this contradicts what the question is asking me to prove???
does the fact that cos y = 0 (for the range specified for y) mean that it is not differentiable?