Mathematics, 26.06.2019 19:00 ipolk92
Use properties of limits and algebraic methods to find the limit, if it exists. (if the limit is infinite, enter '∞' or '-∞', as appropriate. if the limit does not otherwise exist, enter dne.) lim x→5 x2 − 25 x − 5
Answers: 1
![\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)](/tpl/images/0020/5120/e994f.png)
[Limit] Simplify: 
[Limit] Evaluate [Limit Rule - Variable Direct Substitution]: 
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Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .
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Use properties of limits and algebraic methods to find the limit, if it exists. (if the limit is inf...
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