how do it is, as x tends to 0, x sin(1/x) basically becomes 0*(some random number between -1 and 1), which is gonna be zero, regardless of the value of sin(1/x) (we cant find it but at least we know that its finite). same goes with the second question you solved! i guess this is just the squeeze theorem but in more layman terms
Correct me if I'm wrong, but in the first example you're multiplying by x. Because x is approaching zero, x can be both positive and negative. Multiplying by a negative number flips the inequality signs so you have to split it into 2 inequalities. You still get the same answer, but I think it takes a little more work. Once again correct me if I'm wrong, but that's what I learned.
Now that I am taking calculus again, I am watching more of your tutorials than your book reviews. Very happy to have them!
Never thought of using squeeze theorem that way. Thank you for giving new insight for using squeeze theorem!
this was the video that finally made me learn this, thank you!
squeeze theorem is so beautiful definitely one of my favorites
Love the video ❤️. Can you please do a detailed vid on multiple integration, how to take limits by strips
We call it Sandwich theorem more often in Korea
This was so much fun, thank you!
you are a life saver
Nicely explained. Subscribed.
Just wish I could triple like this cos it is fantastic .Just basic
From India love and respect
how do it is, as x tends to 0, x sin(1/x) basically becomes 0*(some random number between -1 and 1), which is gonna be zero, regardless of the value of sin(1/x) (we cant find it but at least we know that its finite). same goes with the second question you solved! i guess this is just the squeeze theorem but in more layman terms
This is really cool!
Correct me if I'm wrong, but in the first example you're multiplying by x. Because x is approaching zero, x can be both positive and negative. Multiplying by a negative number flips the inequality signs so you have to split it into 2 inequalities. You still get the same answer, but I think it takes a little more work. Once again correct me if I'm wrong, but that's what I learned.
Thank you!
tysm!
do you always get 0 in this kind of problems? my guess is that you MIGHT get a different number (like 1/2 maybe?) but does anyone have an example?
Help, my prof be usin this on functions without sin or cos