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Napier's e

Original message:

rational approximation of an irrational number
by vivek gandhi (posted 1/9/10)

students find it really curious, and more intriguing when i tell them that (1+(1/n))^n in the limit of n tending to infinity is an irrational number 'e'. Here n is a positive integer. They find it really difficult to believe that a rational expression on the left hand side tends to an irrational number. How do I convince them ?