If z = a is an isolated singularity of f and f (z) = \sum ↙\stackrel{\infty}{−\infty}⁡a_{n} (z−a) ^{n} is its Laurent expansion in ann (a; 0, R), then z = a is a removable singularity if

Correct Answer is : an = 0, n ≤ -1

AAI ATC Junior Executive 26 Dec 2015 Shift 1 Paper

Question : 111 of 120

Marks: +1, -0

If z = a is an isolated singularity of f and

f (z) = ∑ ↙{−∞}↖{∞}⁡a_{n} (z−a) ^{n}

is its Laurent expansion in ann (a; 0, R), then z = a is a removable singularity if

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