Math Problem Statement
lim (x,y)->(0,0) sqrt x^y^2+2 - sqrt2/x^2+y^2
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Limits of Functions of Two Variables
Series Expansion
Rationalization
Formulas
Limit definition: lim (x,y) -> (0,0) f(x,y)
First-order approximation: sqrt(a + h) ≈ sqrt(a) + h / (2sqrt(a))
Theorems
Limit properties
Series Expansion Theorem
Square Root Approximation Theorem
Suitable Grade Level
Undergraduate Calculus
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