Homework Statement
let f be the function defined in the region |z|<1 , by f(z)=z^5. prove that f is uniformly continuous in |z|<1...where z is a complex number
Homework Equations
The Attempt at a Solution
Homework Statement
if f and g are two continuous functions and f+g is differentiable...are f and g differentiable? if not give a counter example!
Homework Equations
The Attempt at a Solution
Homework Statement
determine the derivative of f(x,y,z)=(x^2-2xy+z,y^2+z^2) directly from the definition where f:R^3------->R^2
Homework Equations
The Attempt at a Solution
Homework Statement
express z^7 + 1 as a product of four non-trivial factors and given that z is a complex number
Homework Equations
The Attempt at a Solution