Set of multiples of 4 forms an ideal in Z, the ring of integers under usual addition and multiplication. This ideal is,

• a prime ideal but not a maximal ideal.
•  a maximal ideal but not a prime ideal
•  both a prime ideal and a maximal ideal
•  neither a prime ideal nor a maximal ideal

 Removable singularity...........................2

 Simple pole.............................................5

 Branch point...........................................7

 Essential singularity...............................49

 

 a and b

 b and c

 c and d

 d and a

 

 a = 1 and b = 0

 a = 0 and b = 1

 a = 1 and b not equal to 0

 a = 0 and b not equal to 1

Transcribed Image Text:

For the function f (z) = sin , z = 0 is a, For the function f (z) = sin , z = 0 is a,

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1 The correct option is iv neither a prime ideal nor a maximal ideal Reason is we know that every n... View the full answer