Taylor Series

We want to apply the Lagrange Error Bound Theorem, and bound it to 0.001: For those unknowns variables in the theorem, we know that: The

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Lagrange Error Bound

In order to compute the error bound, follow these steps: Step 1: Compute the ( n + 1 ) th (n+1)^\text{th} ( n + 1 ) th derivative of f ( x ) . f(x). f ( x ) . Step 2: Find the upper bound on f ( n
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9-3 Taylors Theorem & Lagrange Error Bounds

When x is 1.45 is going to be less than or equal to the absolute value, our M is e squared, e squared over, over n plus one factorial times 1.45, that's our x that we care about, that's where we're calculating the error, we're trying to bound the error, minus where we're centered, minus