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Exercise

$\lim_{x\to\infty}\left(1+\frac{2}{x}\right)^x$

Step-by-step Solution

1

Using the representation of $e$ as a limit

$e^2$

Final answer to the exercise

$e^2$

Exact Numeric Answer

$7.3890561$

Try other ways to solve this exercise

  • Choose an option
  • Solve using L'Hôpital's rule
  • Solve without using l'Hôpital
  • Solve using limit properties
  • Solve using direct substitution
  • Solve the limit using factorization
  • Solve the limit using rationalization
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
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Main Topic: Limits

In mathematics, a limit is the value that a function or sequence "approaches" as the input or index approaches some value.

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