cauchy's formula

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Partial Fractions

What are tha partial fraction decompositions: See attachment for details What are the values of: See attachment for details (residual calculation, results and values) Please see the attachment for full questions and details

Cauchy's Formula

See Attachment for equation We know that sin z and cos z are analytic functions of z in the whole z-plane, what can we conclude about *(see attachment for equations)* in the first quadrant

Zeros

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Zeros

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Convergence

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Complex Variables. 1.2

What are all possible solutions of z^4 + 4 = 0? From this information, write out a complete factorization of z^4 + 4.

Complex v. send as attachment. random stuff

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Hint: First consider what curve z...

Compute: lim as r -> infinity |f(z)|, where z = re^[(i)("alpha")] Your answer will depend on "alpha". Hint: First consider what curve z = re^[(i)("alpha")] traces out in the complex plane as r -> infinity

Concergence

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