5 Answered Questions for the topic complex analysis

Complex Analysis Functions Complex Numbers

04/12/21

Need help with surjective/injective
Consider the function f:C→C defined by f(x+iy)=(3x+2)+i(y2−1) where x,y are elements of R. Is the function injective? Explain your reasoning. Is the function surjective? Explain your... more
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Complex Analysis Maths Mathematics Real Analysis

03/03/21

Use the sandwich lemma to solve --> xn := 1/ sqrt (n^ 2 +1) + 1 /sqrt (n^ 2 +2) +...+ 1 /sqrt (n^ 2 +n) converges to 1
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Complex Analysis Math Mathematics Real Analysis

03/03/21

Use the sandwich lemma to solve --> Let 0<a<b . The sequence ((a^ n +b^ n )^ 1/n ) converges to b .
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Complex Analysis Math

01/11/21

Complex power of a complex number and principal logarithms
My questions are:a) Express (sqrt(3) - i)^2i in Cartesian form.b) Hence, write Re(p.v. (sqrt(3) - i)^2i)
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03/22/19

Geometrical Interpretation of Cauchy Riemann equations?
Differentiation has an obvious geometric interpretation, and the Cauchy Riemann equations are closely linked with differentiation. Do the Cauchy Riemann equations have a geometric interpretation?
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