I'm struggling with the following limit:
$$\lim_{x \to 0} \frac{1-(\cos x)^{\sin x}}{x^2}$$
Don't know where to start with this. Hints/solutions very appreciated.
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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