We will determine whether the series Σ 4+ In (3 + n)4 an is convergent or divergent using the Limit Comparison Test (note that the Comparison Test is difficult to apply in this case). The given series has positive terms, which is a requirement for applying the Limit Comparison Test. First we must find an appropriate series On for comparison (this series must also have positive terms). The most reasonable choice is b, (choose something of the form 1/n? for some number p, so that b, is a p-series). Evaluate the limit below - as long as this limit is some finite value c > 0, then either both series Ean and E b converge An or both series diverge. lim n00 b, From what we know about p-series we conclude that the series b, is (enter "convergent" or "divergent"). Finally, by the Limit Comparison Test we conclude that the series Ean is "divergent"). (enter "convergent" or

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Q: 3+3区

A: Use substitution

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.