Determine Whether the Expressions Approach a Limit as B→∞ $b ( b + 3 ) ^ { - 2 }$

question 165

Short Answer

Determine whether the expressions approach a limit as b→∞. If they do, give the value of the limit.   $b ( b + 3 ) ^ { - 2 }$ ,   $\frac { 2 \sqrt { b } - 1 } { \sqrt { b } }$ ,   $\mathrm { e } ^ { 3 b }$ + 2
Enter your answer as just $a , b,c$ where these are either limits (integers) or the words "no limit" in the same order they appear above separated by commas.

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Definitions:

Customer Margin

The profit margin that is generated from a specific customer, calculated by subtracting the costs associated with serving that customer from the revenue earned from them.

Idle Capacity

Unused or underused production capacity within a business, often leading to inefficiency and increased costs.

Time-Driven Activity-Based Costing

A costing methodology that assigns costs to products or services based on the time resources are consumed in producing them.

Customer Cost Analysis

The process of evaluating all costs associated with acquiring and serving customers to determine profitability.