SQUEEZE THEOREM - Limit as x goes to infinity sin(x)/x

[@JakesMathLessons]

Here's the 2 limits as x goes to infinity we will take a look at:
0:23 | sin(x)
2:30 | sin(x)/x

[@1881CT]

You’re amazing Thank you

[@JakesMathLessons]

You’re welcome, happy to help!

[@versailles1]

YOU ARE A LITERAL GOD

[@veermistry9474]

thanks so much jake!

[@JakesMathLessons]

You’re welcome!

[@betterfly7398]

Glad I needed this after you uploaded the video

[@JakesMathLessons]

I hope it helped!

[@vakhariyajay2224]

Thank you very much. You are a genius. 👍👍🔝🔝

[@anthonyheak3479]

Nicely explained!

[@JakesMathLessons]

Thank you!

[@shashwatgaur3131]

Thanks.....BUDDY😁😁😁

[@JakesMathLessons]

You’re welcome, I hope it helped!

[@mooseminddayan4650]

Thank you so much!Its very clear now!

[@JakesMathLessons]

Glad it helped!

[@adarbarandalgic2730]

Good explanation, thank you.👍

[@JakesMathLessons]

You’re welcome!

[@malakezzat1433]

Thank you 💜

[@JakesMathLessons]

You’re welcome!

[@motekkz9997]

Great explain bro keep going 💙

[@JakesMathLessons]

I will, I’m glad it was helpful!

[@luisfelipe7351]

the numbers exoressed by the general form 1\(n*n)^(1/2+n*n*i) respect the squeeze theorem...these are special zeta complex numbers

[@frankalfaro6124]

Perfect explanation

[@JakesMathLessons]

Thank you!

[@tm1557]

Thank you

[@JakesMathLessons]

You’re welcome!

[@gamingduos6525]

thanku bro...

[@JakesMathLessons]

You’re welcome!

[@8Space]

I love this, thank you!

[@JakesMathLessons]

You’re welcome, I’m glad it helped!

[@fatihatalay5751]

Thanks

[@JakesMathLessons]

You’re welcome!

[@nishatmunshi4672]

Nice video

[@JakesMathLessons]

Thank you!

[@aysenur6961]

thank youu

[@JakesMathLessons]

You’re welcome!

[@kyleargo9867]

7:42 the moment this clicked for me👍🏼

[@JakesMathLessons]

Nice!

[@longman9787]

thanks!

[@JakesMathLessons]

You’re welcome!

[@cantorbernoulli4407]

We could also say the same for sin(x) and find that his limit is 1 but his limit dont exist whats the difference

[@cantorbernoulli4407]

Ok i got it to apply squeeze theorem we need sequences and not number thanks

[@JakesMathLessons]

Squeeze theorem can’t be applied to lim x -> inf of sin(x) because there aren’t two functions that would “squeeze” in on sin(x) as x goes to infinity. You would need one function that’s an upper bound and one function that’s a lower bound that both approach the same number as x approaches infinity. If you use y=1 as your upper bound and y=-1 as your lower bound, those don’t both approach the same number as x -> inf, so squeeze theorem can’t be applied.

[@lokeypokey9744]

Very cool

[@JakesMathLessons]

Thanks!

[@art-by-zane.]

Solve this x sin(1/x).

[@JakesMathLessons]

Ok i will

[@meirgarada5948]

thanks

[@JakesMathLessons]

You’re welcome!