# How do you evaluate #[ ( 1 + ( r/x ) ) ^ x ]# as x approaches infinity?

Now we have:

To evaluate this last limit we note that:

And thus:

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The expression [ ( 1 + ( r/x ) ) ^ x ] can be evaluated as x approaches infinity using the concept of the limit. The limit of this expression as x approaches infinity is equal to the mathematical constant e raised to the power of r. Therefore, the evaluation of [ ( 1 + ( r/x ) ) ^ x ] as x approaches infinity is e^r.

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