Complete the Table and Use the Result to Estimate the Limit

question 64

Multiple Choice

Complete the table and use the result to estimate the limit. $\lim _ { x \rightarrow - 5 } \frac { x + 5 } { x ^ { 2 } + 2 x - 15 }$ $\begin{array}{lllllll}x&-5.1 & -5.01 & -5.001 & -4.999 & -4.99 & -4.9\\f(x) \end{array}$

• A)-0.125000
• B)0.375000
• C)0.250000
• D)0.500000
• E)-0.500000

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Definitions:

NaOH

Sodium hydroxide, a highly caustic metallic base and alkali salt commonly used in many industries, notably in the manufacture of paper, textiles, and detergents.

Saponification

The chemical reaction between a fat or oil and a base, resulting in the formation of glycerol and soap, usually sodium or potassium salts of fatty acids.

Sodium Hydroxide

A strong base and alkali used in various industries, known chemically as NaOH.

Animal Fat

A type of fat derived from animals, used in cooking and in the production of a variety of consumer goods.