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

Take the limit of each term.
Combine terms.
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 .
Combine.
Multiply by .
Combine the numerators over the common denominator.
Multiply by .
Use the properties of logarithms to simplify the limit.
Rewrite as .
Expand by moving outside the logarithm.
Evaluate limit as x approaches infinity of (1-(2/x))^x