In the neighborhood of $$z=1,$$ the function $$f(z)$$ has a power series expansion of the form
$$f\left( z \right) = 1 + \left( {1 - z} \right) + {\left( {1 - z} \right)^2} + ..................$$
Then $$f(z)$$ is

The value of $$\oint\limits_c {{1 \over {{z^2}}}dz} $$ where the contour is the unit circle traversed clock - wise, is

Let $$j\, = \,\sqrt { - 1} $$. Then one value of $${j^j}$$ is

For the function $${{\sin z} \over {{z^3}}}$$ of a complex variable z, the point z = 0 is