Sunday, June 17, 2018

calculus - About $ lim_{xrightarrow 0}frac {sin x}{x} = 1$

I do not understand how $$\lim_{x \to 0} \frac{\sin x}{x} = 1$$ As if $$ x = 0, \frac{\sin (0)}{0} = \frac {0}{0} $$ So if someone could explain this I would appreciate it! Thanks!

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analysis - Injection, making bijection

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...