Evaluate limit as x approaches infinity of (1-(2/x))^x

Math
Take the limit of each term.
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Combine terms.
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To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
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Combine.
Multiply by .
Combine the numerators over the common denominator.
Multiply by .
Use the properties of logarithms to simplify the limit.
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Rewrite as .
Expand by moving outside the logarithm.
Evaluate limit as x approaches infinity of (1-(2/x))^x

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