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How e derived? - Answers

e is derived in several different ways.One way is the infinite sum:e = 1 + 1/1! + 1/2! + 1/3! + ...Another is to note that the function 2^x has a gradient of approx 0.6931*2^x while 3^x has a gradient of 1.0986*3^x. Therefore by continuity (and the intermediate value theorem), there must be a value between 2 and 3 such that the gradient of the curve has the same value as the curve. This value is e.



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How e derived? - Answers

https://math.answers.com/algebra/How_e_derived

e is derived in several different ways.One way is the infinite sum:e = 1 + 1/1! + 1/2! + 1/3! + ...Another is to note that the function 2^x has a gradient of approx 0.6931*2^x while 3^x has a gradient of 1.0986*3^x. Therefore by continuity (and the intermediate value theorem), there must be a value between 2 and 3 such that the gradient of the curve has the same value as the curve. This value is e.



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https://math.answers.com/algebra/How_e_derived

How e derived? - Answers

e is derived in several different ways.One way is the infinite sum:e = 1 + 1/1! + 1/2! + 1/3! + ...Another is to note that the function 2^x has a gradient of approx 0.6931*2^x while 3^x has a gradient of 1.0986*3^x. Therefore by continuity (and the intermediate value theorem), there must be a value between 2 and 3 such that the gradient of the curve has the same value as the curve. This value is e.

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      e is derived in several different ways.One way is the infinite sum:e = 1 + 1/1! + 1/2! + 1/3! + ...Another is to note that the function 2^x has a gradient of approx 0.6931*2^x while 3^x has a gradient of 1.0986*3^x. Therefore by continuity (and the intermediate value theorem), there must be a value between 2 and 3 such that the gradient of the curve has the same value as the curve. This value is e.

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