Math Problem Statement

Solve the equation involving contour integrals, limits, summations, and integrals as shown in the image.

Solution

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Math Problem Analysis

Mathematical Concepts

Complex Analysis
Contour Integration
Series Summation
Definite Integration
Limits

Formulas

Contour integration formula for a complex function
Summation of series terms
Definite integral of an exponential function

Theorems

Residue Theorem
Limit properties in calculus
Series convergence theorems

Suitable Grade Level

Undergraduate - Advanced Calculus/Complex Analysis