Move the limit into the exponent.

Since its numerator approaches a real number while its denominator is unbounded, the fraction approaches .

Anything raised to is .

Evaluate limit as x approaches infinity of e^(1/x)

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# Evaluate limit as x approaches infinity of e^(1/x)

Move the limit into the exponent.

Since its numerator approaches a real number while its denominator is unbounded, the fraction approaches .

Anything raised to is .

Evaluate limit as x approaches infinity of e^(1/x)