Question

Question #ffdd7

Answer 1

Plot it or calculate the limit.

Explanation:

graph{x-((sinx)/(x^3)) [-10, 10, -5, 5]}

If you look at the graph, no matter how far or how close you zoom it, as the function approaches zero, from both sides it points to negative infinity in the y-direction.

We can either say that this value does not exist, or negative `oo`

Or, when you plug in 0 for x,

`0-((sin(0))/(0^3))`

You find that there is a zero in the denominator

This leaves the expression undefined and thus the limit does not exist.