A friend claims that as x becomes large, the expression 1 + 1/x gets closer and closer
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A friend claims that as x becomes large, the expression 1 + 1/x gets closer and closer to 1, and 1 raised to any power is still 1. Therefore, ƒ1x2 = (1 + 1/x)x gets closer and closer to 1 as x gets larger. Use a graphing calculator to graph ƒ on 0.1 ≤ x ≤ 50. How might you use this graph to explain to the friend why ƒ(x) does not approach 1 as x becomes large? What does it approach?
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