Verify Euler's formula for $e^{ix}$ by considering $\frac{dz}{dx}$ where $z=r(\cos x+i\sin x)$
I tried taking the derivative of z but could not get to Euler's from there.
I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...
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