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Need help with question (3)

Need help with question (3)-example-1
User Rpyzh
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6 votes

Answer:

The statement "The series converges by the Integral Test" is true. The Integral Test is a method used to determine the convergence or divergence of a series. The test states that if the series is of the form:

∑(f(n))

where f(n) is a positive and continuous function defined for n ≥ 1 and is decreasing for n ≥ 1, then if the integral of f(n) from 1 to infinity converges, the series also converges. If the integral diverges, the series diverges.

It is important to note that the Integral Test is only one method of determining the convergence or divergence of a series and that it has some limitations such as it only works when the function f(n) is positive and decreasing. Also, the test is only inconclusive if the necessary conditions are not met, so statement 4 and 5 are not true.

User Ssloan
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