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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 e^{x} 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.


Home Infinite Series Approximating Power Series Examples Example 3: e 