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

question 32

Multiple Choice

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

• A)0
• B)1
• C) \(\frac { 1 } { 2 }\)
• D) \(\frac { 1 } { 3 }\)
• E) \(\frac { 1 } { 4 }\)
• F) \(\frac { 1 } { 5 }\)
• G) \(\frac { 1 } { 6 }\)
• H)Does not exist

---

Definitions:

Branches

Refers to the limbs extending from the trunk of a tree or the subdivisions of a larger concept or system.

Axon

A part of a neuron that carries electrical impulses away from the neuron's cell body, responsible for transmitting information to different neurons, muscles, and glands.

Facilitator

An individual who makes an action or process easy or easier, often used in the context of learning or group activities.

Communication

The process of transferring information, ideas, and feelings between individuals or groups through spoken words, written text, or other methods.