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Exercise

$\lim_{n\to\infty}\left(x+\sin\left(x\right)^{2n}\right)$

Step-by-step Solution

1

The limit $\lim_{n\to\infty }\left(x+\sin\left(x\right)^{2n}\right)$ is indeterminate, because the limit of trigonometric functions as $n$ approaches infinity is indeterminate

indeterminate

Final answer to the exercise

indeterminate

Try other ways to solve this exercise

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  • 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
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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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