Evaluate the Limit After First Finding the Sum (As a Function

question 135

Short Answer

Evaluate the limit after first finding the sum (as a function of $n$ ) using the summation formulas. $\lim _ { n \rightarrow \infty } \sum _ { k = 1 } ^ { n } \left( 4 + \frac { 2 k } { n } \right) ^ { 2 } \left( \frac { 1 } { n } \right)$

---

Definitions:

Standardized Intelligence Tests

Tests designed to measure intelligence through a set of standardized tasks and problems, providing a quantitative assessment of an individual's intellectual capabilities.

Prenatal Nutrition

Refers to the dietary and nutritional intake and considerations important for pregnant individuals to support fetal health and development.

Home Environment

The physical, emotional, and social surroundings within a person's dwelling, including family dynamics and physical conditions, which can influence development and well-being.

IQ Tests

Standardized tests designed to measure human intelligence and cognitive abilities.