SolutionLimitProbShort

SolutionLimitProbShort - Find the following limit: lim...

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Unformatted text preview: Find the following limit: lim x→∞ 1+ 2 5x 7x ln y = ln lim 2 1+ 5x 2 5x 7x 7x Let y = lim 1+ x→∞ x→∞ 2 = lim ln 1 + x→∞ 5x 7x 2 = lim 7x ln 1 + x→∞ 5x ln 1 + = lim x→∞ Using L’Hopital’s Rule, we get: ln y = lim x→∞ 1 1 + 52 x 1 7 −1 2 5 x2 −1 x2 = lim x→∞ 1 1 + 52 x 1 7 1+ Finally, taking the exponential we get y = lim x→∞ 1 2 5 2 5 1 = = 1 7 2 5x 7x 14 =e5. 14 5 1 7x 2 5x ...
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This note was uploaded on 09/25/2011 for the course CALCULUS 135 taught by Professor Augustarainsford during the Spring '11 term at Rutgers.

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