
Question 4
(a) State the Intermediate Value Theorem (IVT).
(b) Use the IVT to show that the equation sin(x) = x 2 − 1 has at least one root. (Remember to state why you can apply the IVT)

| University | Nanyang Technological University (NTU) |
| Subject | MH1100: Calculus I |

Question 4
(a) State the Intermediate Value Theorem (IVT).
(b) Use the IVT to show that the equation sin(x) = x 2 − 1 has at least one root. (Remember to state why you can apply the IVT)

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