Exercise 1.5.1. Let J = 1. We have a function f(x) = xx. Note that as a real function, f(x) is everywhere differentiable
Posted: Thu May 05, 2022 6:44 pm
Exercise 1.5.1. Let J = 1. We have a function f(x) = xx. Note that as a real function, f(x) is everywhere differentiable. (However, as a complex function, it is not differentiable.) 1. Let At = [614] Note that lim A=J. Find lim f(A₂). 0 1+ 1 2. Let At Note that lim A₁ = J. Find lim f(A₁). Is f(J) well-defined? (No credit but fun to think about: Why is real differentiability not enough?)