Use the Squeeze Theorem ​

See Below.

Step-by-step explanation:

We want to use the Squeeze Theorem to show that:

Recall that according to the Squeeze Theorem, if:

And:

Then:

Recall that the value of sine is always ≥ -1 and ≤ 1. Hence:

We can multiply both sides by x². Since this value is always positive, we do not need to change the signs. Hence:

Let g = -x², h = x², and f = x²sin(2 / x). We can see that:

And since g(x) ≤ f(x) ≤ h(x), we can conclude using the Squeeze Theorem that:

one that is bigger than 3 1/2

1/800 is the right answer