X tends to 0. Is there a limit to X (sin1 / x)? Sin1 / X is meaningless!

X tends to 0. Is there a limit to X (sin1 / x)? Sin1 / X is meaningless!

|Sin1 / X | ≤ 1 is a bounded function
When X -- > 0, X is infinitesimal
The limit of infinitesimal and bounded function is infinitesimal,
That is, X tends to 0, and the limit of X (sin1 / x) is 0