Question

In the interval (-2$\pi$,0), the function f(x)=sin($\frac{1}{x^3}$).

• A. never changes sign
• B. changes sign only once
• C. changes sign more than once but finitely many times.
• D. changes sign infinitely many times

Answer 1

Answer: (D)

changes sign infinitely many times

Answer 2

The correct answer is option (D): changes sign infinitely many times