MAT334-2018F > Quiz-5

Q5 TUT 0301

(1/1)

**Victor Ivrii**:

Use Morera's Theorem to show

that the following function is analytic on the indicated domain; find a

power-series expansion for the function by using the known power series for

the integrand and interchanging the summation and integration.

$$

\int_{0}^{1} \frac{dt}{1-tz}\qquad\text{on}\; |z|<1.

$$

**Meerna Habeeb**:

See answer attached

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