Approximate the Sum of the Series by Using the First $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } 4 } { n ! }$

question 1

Multiple Choice

Approximate the sum of the series by using the first six terms. $\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } 4 } { n ! }$

• A) \(1.457 < S < 1.477\)
• B) \(1.417 < S < 1.497\)
• C) \(1.467 < S < 1.472\)
• D) \(1.427 < S < 1.467\)
• E) \(1.461 < S < 1.473\)

Compute probabilities using the classical, relative frequency, and subjective methods.

Determine the probability of conjunction and disjunction of events.

Understand the independence of trials in probability experiments.

Calculate the probability of an event based on conditional probabilities and historical data.

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