please help me!!! I need help with the squeeze theream [x^2 sin(1/x)] lim x-0

Question

please help me!!! I need help with the squeeze theream [x^2 sin(1/x)] lim x->0

jamesj · Answer

First, what are you aiming for .. in other words, what do you think the answer is and why, intuitively?

anonymous · Answer

its one i think but thats because someone told me

anonymous · Answer

its dne

jamesj · Answer

No.  Have a look at the graph here:

anonymous · Answer

yeah ive seen it

anonymous · Answer

jamesj · Answer

Now, from the graph, what intuitively is the answer?  It's clearly not 1.

anonymous · Answer

it doesnt exist

anonymous · Answer

it nvr reaches 0

jamesj · Answer

No.  It exists.  You're not looking at the graph.  It looks like it's zero, 0.  And in fact that's the answer.

jamesj · Answer

Here's a hint for all.  For all $ \theta $, 
$$ | \sin \theta | \leq 1 $$

anonymous · Answer

ok ell thanks for your help but its not making any sense and i'm just going to give up on it. but thanks

anonymous · Answer

I'm not quiting i'm just going to ask my teacher to explain it on paper. this word explaination is not doing it for me.