# Is the Maclaurin series expansion of $\\sin x$ related to the inclusion-exclusion principle?

When I see the alternating signs in the infinite series expansion of $\\sin x$, I'm reminded of the inclusion-exclusion principle. Could there be any way to visualize it in such a way? Also, is there an elementary reason why the Taylor series approximates a function? I've read the wikipedia entry but didn't understand it so it's greatly appreciated if someone can point me in the right direction.

## 2 Answers By Expert Tutors

By:

Tutor
New to Wyzant

Community College Math Instructor Passionate About Results

Tutor
5 (8)

BS Mathematics, MD

## Still looking for help? Get the right answer, fast.

Get a free answer to a quick problem.
Most questions answered within 4 hours.

#### OR

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.