Explore topic-wise MCQs in Complex Function Theory.

This section includes 7 Mcqs, each offering curated multiple-choice questions to sharpen your Complex Function Theory knowledge and support exam preparation. Choose a topic below to get started.

1.

Which of the following is true about f(z)= ( frac{z^2+(iz)^2}{z^2} )?

A. Continuous and differentiable
B. Continuous but not differentiable
C. Neither continuous nor differentiable
D. Differentiable but not continuous
Answer» B. Continuous but not differentiable
Discussion
2.

Which of the following is true about f(z)= ( frac{z+iz}{z^2} )?

A. Continuous and differentiable
B. Continuous but not differentiable
C. Neither continuous nor differentiable
D. Differentiable but not continuous
Answer» D. Differentiable but not continuous
Discussion
3.

Which of the following is true about f(z)=z2+2z?

A. Continuous and differentiable
B. Continuous but not differentiable
C. Neither continuous nor differentiable
D. Differentiable but not continuous
Answer» B. Continuous but not differentiable
Discussion
4.

Which of the following is true about f(z)=z+iz?

A. Continuous and differentiable
B. Continuous but not differentiable
C. Neither continuous nor differentiable
D. Differentiable but not continuous
Answer» B. Continuous but not differentiable
Discussion
5.

Which of the following is true about f(z)=z2?

A. Continuous and differentiable
B. Continuous but not differentiable
C. Neither continuous nor differentiable
D. Differentiable but not continuous
Answer» B. Continuous but not differentiable
Discussion
6.

Which of the following is correct about the function f(x)=|x2+18x+81|?

A. Left and right limits are equal and hence it is differentiable
B. Limits are not important to determine differentiability
C. Left and right limits are equal and hence it is not differentiable
D. Left and right limits are not equal and hence it is not differentiable
Answer» E.
Discussion
7.

Which of the following is correct about the function f(x)=|x+5|?

A. Left and right limits are equal and hence it is differentiable
B. Left and right limits are not equal and hence it is differentiable
C. Left and right limits are equal and hence it is not differentiable
D. Left and right limits are not equal and hence it is not differentiable
Answer» E.
Discussion