You Are Given $\lim _ { x \rightarrow a } f ( x ) = L$

question 19

Short Answer

You are given $\lim _ { x \rightarrow a } f ( x ) = L$ and a tolerance $\varepsilon$ . Find a number $\delta$ such that $| f ( x ) - L | < \varepsilon$ whenever $0 < | x - a | < \delta$ .
$\lim _ { x \rightarrow 3 } 4 x = 12 ; \quad \varepsilon = 0.01$

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Definitions:

Food Expenditures

The amount of money spent by households or individuals on purchasing food for consumption.

Price Index

A statistical measure that shows changes in the price level of a basket of consumer goods and services over time, often used to monitor inflation or deflation.

Real Terms

Describes economic measurements or data that have been adjusted for inflation, allowing for comparison over time.

Income Percentage

A figure representing a portion of one's income, often used in calculations for taxes, savings, or spending.