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For Which of the Following Series Will the Test for Divergence

question 246

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For which of the following series will the Test for Divergence establish divergence?
1) n=1(1) n\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n }
2) n=1n1\sum _ { n = 1 } ^ { \infty } n ^ { - 1 }
3) n=1n+12n\sum _ { n = 1 } ^ { \infty } \frac { n + 1 } { 2 n }


Definitions:

Cash Flow

The net amount of cash and cash-equivalents being transferred into and out of a business, important for assessing liquidity, flexibility, and overall financial health.

Capital Budgeting

The process of evaluating and selecting long-term investments that are in line with the goal of an organization's wealth maximization.

Tax Rate

The ratio at which taxes are imposed on a person or business entity.

After-Tax Discount Rate

The discount rate that is applied to cash flows after taking into account the effects of taxes.

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