Question

 Find the points where the function f(z)= frac{log(z+4)}{z^{2}+i} is not analytic. 

21 Mar 2023
Answer :
Word Count : 289

To find the points where the function is not analytic, we need to look for singularities.

First, we note that the denominator of the function is never zero since $z^2+i=0$ has no solutions in the complex plane. Thus, the function is defined everywhere except possibly at points where it is not differentiable.

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