Question

The singular points for f(z) = (z-2)/(z+1)
(z2+1) are​

Answer 1

SOLUTION

TO DETERMINE

The singular points for

$\displaystyle\sf{f(z) = \frac{(z - 2)}{(z + 1)( {z}^{2} + 1) } }$

EVALUATION

Here the given function is

$\displaystyle\sf{f(z) = \frac{(z - 2)}{(z + 1)( {z}^{2} + 1) } }$

We know that a function f(z) which is single valued and possesses a unique derivative with respect to z at all points of a region R is called analytic function of z in that region

Now a point at which an analytic function ceases to posses a derivative is called singular point of a function

Clear the given function f(z) is not analytic at z = 1 , z = i and z = - i

Hence the required singular points are z = 1 , z = i and z = - i

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Answer 2

Step-by-step explanation:

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