Complex Variables and Partial Differential Equations (3140610) MCQs

MCQs of Laurent’s series and Residues

Showing 11 to 13 out of 13 Questions
11.

The value of integral Cdzz-1z-2 , where C:z=3 , is _____ .

(a)

1

(b)

0

(c)

2

(d)

none of these

Answer:

Option (b)

12.

Which of the following is related to cauchy residue theorem?

(a)

Cfz dz=0

(b)

Cf(z)z-z0dz = 2πi f(z0)

(c)

Cf(z)dz = 2πi (sum of residues)

(d)

none of these

Answer:

Option (c)

13.

Select the correct option for the following data.

(1) fz=sinzz                              (a) z=0 is a removable singularity

(2) fz=e1z                                (b) z=0 is a essential singularity

(3) fz=1-ezz3                             (c) z=0 is a pole

(a)

(1-b), (2-c), (3-a)

(b)

(1-a), (2-b), (3-c)

(c)

(1-a), (2-b), (3-c)

(d)

(1-b), (2-a), (3-c)

Answer:

Option (b)

Showing 11 to 13 out of 13 Questions