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

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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 1 (32.7 KiB) Viewed 36 times

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?)