Use Continuity to Evaluate the Limit $\lim _{x \rightarrow 9_{x}} \sin (x+10 \sin x)$

question 51

Multiple Choice

Use continuity to evaluate the limit. $\lim _{x \rightarrow 9_{x}} \sin (x+10 \sin x)$

• A) \(\infty\)
• B) \(9 \pi\)
• C) \(-1\)
• D) 0
• E) 1

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Definitions:

Universal Generalization

A logical principle stating that what is true of each member of a class or group is true of the class as a whole.

Existential Generalization

A logical operation that infers the existence of at least one member of a domain that satisfies a given predicate.

Existential Instantiation

A logical principle stating that the existence of at least one instance of a variable within a domain can be concluded from a statement asserting something about that variable.

Universal Instantiation

A logical rule used in deductive reasoning stating that what is true of all members of a class is true of any specific member.