Exam weight
High
- Intermediate Value Theorem: f continuous on [a, b] and K between f(a) and f(b) ⇒ some c in (a, b) has f(c) = K. It is why bisection works.
- Taylor: f(x) = Pₙ(x) + Rₙ(x), Rₙ(x) = f⁽ⁿ⁺¹⁾(ξ)(x − x₀)ⁿ⁺¹/(n + 1)!
🎯 How this can come up · 1 question
MCQ
The theorem that guarantees a root of a continuous f on [a, b] when f(a)·f(b) < 0 is the:
Correct: Intermediate Value Theorem.
