Evaluate the Limit $$\lim _ { ( x , y ) \rightarrow ( 1,1 ) } \frac { 5 x ^ { 2 } y } { \sqrt { x ^ { 2 } + 4 y ^ { 2 } } }$$

question 70

Multiple Choice

Evaluate the limit.
$$\lim _ { ( x , y ) \rightarrow ( 1,1 ) } \frac { 5 x ^ { 2 } y } { \sqrt { x ^ { 2 } + 4 y ^ { 2 } } }$$

• A) \(\sqrt { 4 }\)
• B) 0
• C) \(\frac { 5 } { \sqrt { 4 } }\)
• D) \(\frac { \sqrt { 5 } } { 5 }\)
• E) \(\sqrt { 5 }\)

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Definitions:

Data

A compilation of statistics and information for analysis or reference purposes.

Equal

Having the same value, quantity, measure, or significance in comparison.

Set of Data

A collection of related pieces of information, typically measurements or observations, that are analyzed to derive a conclusion.

Mean

The mean of a number set, found by summing all the numbers together and then dividing by the total number of values in the set.