Teaching DSSSB TGT Mock Test 2025 Engineering Mathematics Complex Variables Singularities

Consider the function f(z) = \(\frac{\sin (\frac{\pi z}{2})}{\sin \pi z}\). Then f has pole at

1
All integers
2
All even integers
3
All odd integers
4
All integers of the form 4k + 1, k ∈ \(\mathbb Z\)
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