[PNET/CV-05001] Existence of derivative, analytic property, singular points etc.

The attached file is a collection of questions taken from NET/CSIR/GATE/JEST and other similar examinations
The questions concern:

• Existence of derivative
• Computation of limit
• Checking if a function is analytic or not
• Properties of real and imaginary parts of an analytic function
• Finding real part (or imaginary part) if the other one is given.

KEY CONCEPTS

Existence of derivative, Analytic function, Limit, Cauchy Riemann equations,