Evaluate the limit.

First, we write the expression using the definition of the exponential,

Now, considering the expression in the exponent and using the expansion of as (page 287 of Apostol) we have as ,

Therefore, we have

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Stumbling Robot

A Fraction of a Dot
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Find the limit as *x* to 0 of the given expression

Evaluate the limit.

First, we write the expression using the definition of the exponential,

Now, considering the expression in the exponent and using the expansion of as (page 287 of Apostol) we have as ,

Therefore, we have