Evaluate $\lim _ { ( x , y , z ) \rightarrow ( 0,0,0 ) } \frac { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } { \sin \left( x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \right) }$

question 213

Multiple Choice

Evaluate $\lim _ { ( x , y , z ) \rightarrow ( 0,0,0 ) } \frac { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } { \sin \left( x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \right) }$

• A) \(e ^ { - 4 }\)
• B) \(e ^ { - 2 }\)
• C) \(e ^ { - 1 }\)
• D)1
• E) \(e ^ { 4 }\)
• F) \(e ^ { 2 }\)
• G) \(e\)
• H)Does not exist

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Definitions:

Levels

Different stages, degrees, or magnitudes within a system, organization, or scientific classification.

Complex

Consisting of many different and connected parts, or a system that is not simple and may be difficult to understand.

Photosynthetic Organism

An organism that converts sunlight into chemical energy through the process of photosynthesis.

Specialized Cells

Cells that have developed specific characteristics and functions through the process of differentiation.