Use Polar Coordinates to Find the Limit of the Function $$f ( x , y ) = \cos \left( \frac { x ^ { 2 } } { x ^ { 2 } + y ^ { 2 } } \right)$$

question 263

Multiple Choice

Use polar coordinates to find the limit of the function as (x, y) approaches (0, 0) .
- $$f ( x , y ) = \cos \left( \frac { x ^ { 2 } } { x ^ { 2 } + y ^ { 2 } } \right)$$

• A) 1
• B) \(\frac { \pi } { 2 }\)
• C) 0
• D) No limit

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Definitions:

Nitrogens

A rephrasing of "Nitrogens" would be: Chemical elements with the symbol N, essential for all living organisms as a constituent of proteins and nucleic acids.

HCN Bond Angle

The angle between the hydrogen, carbon, and nitrogen atoms in hydrogen cyanide, typically close to 180 degrees due to its linear molecular shape.

Hydrogen Cyanide

A highly toxic and volatile chemical compound with the formula HCN, characterized by a distinctive bitter almond odor.

Hybridization

The concept in chemistry where atomic orbitals mix to form new hybrid orbitals, which are suitable for the pairing of electrons to form chemical bonds in molecular compounds.