If $f ( x , y ) = \frac { x y } { x ^ { 2 } + y ^ { 2 } }$

question 157

Multiple Choice

If $f ( x , y ) = \frac { x y } { x ^ { 2 } + y ^ { 2 } }$ then $\lim _ { ( x , y ) \rightarrow ( 0,0 ) } f ( x , y )$

• A)exists
• B)does not exist
• C)is equal to 0
• D)is equal to \(\frac { 1 } { 2 }\)
• E)is equal to 1

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Definitions:

Leasehold Estate

An interest in real property that gives the holder the right to possession and use of the property for a specified term under a lease.

Freehold Estate

A type of ownership in real estate where the owner has complete control of the land and any buildings on it for an indefinite period.

Periodic Tenancy Agreement

A rental agreement that continues for successive periods (e.g., month-to-month or year-to-year) until terminated by the landlord or tenant.

Tenancy At Sufferance

A situation in which a tenant fails to leave after a lease has expired and owes compensation to the landlord.