Question

Please help me understand this problem.

Answer 1

In each column of the table, you're expected to find the approximate value of
`(x^2)/(\sin x)`. For example, if
`x=-0.03`, then you'd find
`(x^2)/(\sin x)\approx-0.0300`, while if
`x=0.03`, then
`(x^2)/(\sin x)\approx0.300`.

As you fill in the table, you'll see that for values of
`x` to either side of
`x=0` the value of
`(x^2)/(\sin x)` gradually gets closer to 0 too. So the limit must be 0, and the second option is correct.