Question:medium

\(f(x) = \cos x - 1 + \frac{x^2}{2!}, \, x \in \mathbb{R}\)
Then \(f(x)\) is:

Show Hint

When analyzing the behavior of a function, examine the sign of its derivative. If the derivative is not always positive or negative, the function may neither increase nor decrease uniformly.
Updated On: Nov 28, 2025
  • decreasing function
  • increasing function
  • neither increasing nor decreasing
  • constant for \(x>0\)