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heres a question for you how would you evaluate this limit what is the limit as n goes to infinity of a 1 plus 1 over n raised to the n power well in this video were going to talk about how to evaluate this limit so the first thing were going to do is were going to set the entire expression equal to y so our goal is to solve for y if we can do that we could find the value of this expression now the next thing that were going to do is were going to take the natural log of both sides so were going to have ln y is equal to the limit as n goes to infinity and then the natural log of 1 plus 1 over n raised to the n now a property of logs lets say we have log x raised to the a we can take the exponent and move it to the front so ln x raised to the a power is a times ln x so were going to take this variable move it to the front so were going to have the natural log of y is equal to the limit as n goes to infinity n times the natural log of one plus one over n now we still have some