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SolutionLimitProbShort

SolutionLimitProbShort - Find the following limit lim x 1 2...

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Find the following limit: lim x →∞ 1 + 2 5 x 7 x Let y = lim x →∞ 1 + 2 5 x 7 x ln y = ln lim x →∞ 1 + 2 5 x 7 x = lim x →∞ ln 1 + 2 5 x 7 x = lim x →∞ 7 x ln 1 + 2 5 x = lim x →∞ ln 1 + 2 5 x 1 7 x Using L’Hopital’s Rule, we get: ln y = lim x →∞ 1 1 + 2 5 x 2 5 - 1 x 2 1
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