Is $\frac{1}{(n) !}$ A Good Bound for the Maximum Possible Error for the Error

question 36

True/False

Is $\frac{1}{(n) !}$ a good bound for the maximum possible error for the n^th degree Taylor polynomial about x = 0 approximating $\sin \left(\frac{x}{2}\right)$ on the interval [0, 1]?

---

Definitions:

Tolerance

The ability or willingness to tolerate the existence of opinions or behavior that one dislikes or disagrees with, or the body's reduced response to a substance after repeated use.

Psilocybin

A naturally occurring psychedelic compound produced by certain species of mushrooms, known for its psychoactive effects and potential therapeutic benefits.

LSD

Short for lysergic acid diethylamide, is a powerful hallucinogenic drug that alters perception and can induce vivid hallucinations.

Cocaine

A powerful stimulant drug derived from the leaves of the coca plant, known for its addictive properties.