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(Solved): (7) Let f(z)=(1)/((2z+1)(z+3)). (a) Obtain the Maclaurin series representation of f. What is the reg ...
(7) Let f(z)=(1)/((2z+1)(z+3)).
(a) Obtain the Maclaurin series representation of f. What is the region of convergence?
(b) Find the Laurent series expansion of f, which is valid in the region 0<|z+(1)/(2)|<(5)/(2).
(c) Find the Laurent series expansion in powers of z, which converges at z=5. Give the region of
convergence.