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How to prove $\cosh(x) \ge 1$ without the $\cosh^2x-\sinh^2x=1$ identity

algebra-precalculus trigonometry inequality asked Apr 28 '12 at 22:35

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How do you find the limit of $\lim\limits_{x\rightarrow 0^-}\frac { \arcsin{ \frac {x^2-1}{x^2+1}}-\arcsin{(-1)}}{x}$?

homework calculus asked May 27 '12 at 15:47

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