Find the Limit $L$ For the Given Function $f$ , the Point $x _ { 0 }$

question 90

Multiple Choice

Find the limit $L$ for the given function $f$ , the point $x _ { 0 }$ , and the positive number $\varepsilon$ . Then find a number $\delta > 0$ such that, for all $x _ { t } 0 < \left| x - x _ { 0 } \right| < \delta \Rightarrow | f ( x ) - L | < \varepsilon$ .
- $$\mathrm { f } ( \mathrm { x } ) = 6 \mathrm { x } + 3 , \mathrm { x } _ { 0 } = - 5 , \varepsilon = 0.06$$

• A) \(\mathrm { L } = - 27 ; \delta = 0.01\)
• B) \(L = - 33 ; \delta = 0.01\)
• C) \(L = - 27 ; \delta = 0.02\)
• D) \(\mathrm { L } = 33 ; \delta = 0.02\)

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Definitions:

Retail Method

An accounting method for inventory valuation in which ending inventory and cost of goods sold are determined by applying a constant gross margin percentage.

Inventory Cost

The total cost associated with acquiring, holding, and processing inventory, including purchase costs, storage fees, and handling charges.

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An approach that involves approximating financial figures or outcomes based on available data and educated assumptions.