I looked at the solution of sin(2x)/x as x approaches infinity (https://www.nasaconstellation.comway.com/popular-problems/Calculus/569134).

Bạn đang xem: What is the limit of sinx as x approaches infinity?

I understand -1

Also, if you use the L"hopital rule instead of squeeze theorem for sin(2x)/x you get it is equal to lớn limit of 2sin(2x)/1. 2sin(2x)/1 as x goes khổng lồ infinity is undefind ! So squeeze theorem says the original limit is 0 while the L Hoptial rule says the original limit is undefined. Which rule bởi you use?

Thank you so much.


The easiest use of the squeeze theorem for $lim_x opminftyfracsin f(x)x$ is $-frac1lefracsin f(x)xlefrac1$, so the limit is $0$.


If you are taking $x o infty$ you don"t have to worry about the case where $x$ is negative.

You cannot apply l"Hopital"s rule because the numerator $sin(2x)$ does not have a limit as $x o infty$.


Thanks for contributing an answer khổng lồ nasaconstellation.comematics Stack Exchange!

Please be sure to lớn answer the question. Provide details và share your research!

But avoid

Asking for help, clarification, or responding lớn other answers.Making statements based on opinion; back them up with references or personal experience.

Use nasaconstellation.comJax to lớn format equations. nasaconstellation.comJax reference.

Xem thêm: Nghĩa Của Từ Review Nghĩa Là Gì ? Cách Để Viết Bài Review Xuất Sắc Nhất

To learn more, see our tips on writing great answers.

Post Your Answer Discard

By clicking “Post Your Answer”, you agree to lớn our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged limits or ask your own question.

Limit of $sinleft(fracpix ight)$ as $x$ approaches $0$ does not exist, with squeeze theorem

Site design / hình ảnh sản phẩm © 2022 Stack Exchange Inc; user contributions licensed under cc by-sa. Rev2022.4.14.41981

Your privacy

By clicking “Accept all cookies”, you agree Stack Exchange can store cookies on your device và disclose information in accordance with our Cookie Policy.