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

question 89

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 $x _ { t } 0 < \left| x - x _ { 0 } \right| < \delta \Rightarrow | f ( x ) - L | < \varepsilon$ .
-f(x) = -10x + 5, L = -15, x0 = 2, and $\varepsilon$ = 0.01

• A) 0.004
• B) 0.001
• C) 0.002
• D) -0.005

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Definitions:

Glycolysis

Glycolysis is a series of enzymatic reactions that break down glucose into pyruvate, producing energy in the form of ATP, and occurs in the cytoplasm of cells.

Lactate Formation

The conversion of pyruvate into lactate by anaerobic glycolysis, often occurring in muscles during intense exercise.

Acetyl-CoA

A molecule that plays a key role in metabolism, particularly in the synthesis and oxidation of fatty acids, and the Krebs cycle.

Citric Acid Cycle

A series of chemical reactions used by all aerobic organisms to generate energy through the oxidation of acetate derived from carbohydrates, fats, and proteins.