Estimate the magnitude of the error involved in using the sum of the f

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Estimate the magnitude of the error involved in using the sum of the first four terms to approximate the sum of the entire series. ∑ n = 1 ∞ (−1) n + 1 t n n, − 1 < t ≤ 1 |Error| < |t 4 4| |Error| < 0.20 |Error| < |t 5| |Error| < |t 5 5| |Error| < |t 3 3| |Error| < |t 4| |Error| < |t 3|

Estimate the magnitude of the error involved in using the sum of the first four terms to approximate the sum of the entire series. ∑ n = 1 ∞ (−1) n + 1 t n n, − 1 < t ≤ 1 |Error| < |t 4 4| |Error| < 0.20 |Error| < |t 5| |Error| < |t 5 5| |Error| < |t 3 3| |Error| < |t 4| |Error| < |t 3|

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Estimate the magnitude of the error involved in using the sum of the first four terms to approximate the sum of the entire series.

\sum_{n = 1}^{\infty} \frac{(- 1)^{n + 1} t^{n}}{n}, - 1 < t \leq 1

∣

Error

| < | \frac{t^{4}}{4} |

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Error

∣ < 0.20

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Error

| < | t^{5} ∣

∣

Error

| < | \frac{t^{5}}{5} |

∣

Error

| < | \frac{t^{3}}{3} |

∣

Error

| < | t^{4} ∣

∣

Error

| < | t^{3} ∣

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