How can I solve this limit without L'Hopital rule? – math.stackexchange.com

How can I solve this limit without L'Hopital rule? – math.stackexchange.com

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I have found this interesting limit and I'm trying to solve it without use L'Hopital's Rule. $$\lim\limits_{x\rightarrow 0}\frac{\sinh^{-1}(\sinh(x))-\sinh^{-1}(\sin(x))}{\sinh(x)-\sin(x)}$$ I ...

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