Functions and limits

Concepts

• Complex function 10 exercisesA rule f assigning to each z=x+iy of a set D⊆ℂ a unique complex number w=u+iv; u and v are its real and imaginary parts.
• Complex limit 10 exercisesThe limit L of a function f at z_0 is the complex number that f(z) gets as close to as desired (ε) when z comes within distance δ…
• Complex continuity 10 exercisesA function f is continuous at a point z_0 of its domain if f(z) tends to the value f(z_0) as z tends to z_0; it is continuous if…
• Complex exponential 10 exercisesThe exponential e^z of a complex number z=x+iy is the complex number with modulus e^x and argument y.
• Complex logarithm 10 exercisesA logarithm of a complex number z≠0 is a complex number w whose exponential is z.
• Complex trigonometric functions 10 exercisesThe sine sin z and cosine cos z of a complex number z are the functions that extend the real ones through the complex exponential…