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Home Infinite Series Approximating Power Series Examples Example 3: e | |
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Example 3: e
Approximate e-1 within 0.001. The power series for ex is , r = ∞. Setting x = -1, The series alternates and the last term is less than 0.001, so error ≤~ 0.0002. Adding up, e-1 ~ 0.36806, error ≤ 0.0002. The actual value is e-1 ~ 0.36788.
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Home Infinite Series Approximating Power Series Examples Example 3: e |