Provide an Appropriate Response $\lim _ { x \rightarrow a } [ f ( x ) \pm g ( x ) ] = \lim _ { x \rightarrow a } f ( x ) \pm \lim _ { x \rightarrow a } g ( x ) = L \pm M$

question 122

Multiple Choice

Provide an appropriate response.
-Provide a short sentence that summarizes the general limit principle given by the formal notation $\lim _ { x \rightarrow a } [ f ( x ) \pm g ( x ) ] = \lim _ { x \rightarrow a } f ( x ) \pm \lim _ { x \rightarrow a } g ( x ) = L \pm M$ , given that $\lim _ { x \rightarrow a } f ( x ) = L$ and $\lim _ { x \rightarrow a } g ( x ) = M$ .

• A) The limit of a sum or a difference is the sum or the difference of the functions.
• B) The sum or the difference of two functions is continuous.
• C) The limit of a sum or a difference is the sum or the difference of the limits.
• D) The sum or the difference of two functions is the sum of two limits.

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Definitions:

Theoretical Diversity

The presence and acceptance of a variety of theories or viewpoints in any field of study, acknowledging that multiple perspectives can contribute to a comprehensive understanding of a topic.

Nature And Nurture

The debate regarding the relative importance of an individual's innate qualities (nature) versus personal experiences (nurture) in determining or causing differences in physical and behavioral traits.

Heredity

The genetic transfer of characteristics, whether physical or mental, from one generation to the next.

Experience

Direct observation of or participation in events as a basis of knowledge, or the practical contact with and observation of facts or events.