Estimate $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 4 } + 1 }$

question 148

Essay

Estimate $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 4 } + 1 }$ to within 0.01.

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Definitions:

Government Purchases

Expenditures by government agencies on goods and services that directly satisfy public consumption or are invested in public infrastructure.

Full Employment

An economic condition where every available workforce is employed in the most effective way achievable.

Government Purchases

Expenditures made by the government sector on final goods and services in a given time period, influencing the overall economy.

Transfer Payments

Payments made by the government to individuals without any expectation of a good or service in return, such as welfare or social security.