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Show that the indicated limit does not exist.$$\lim _{(x, y) \rightarrow(0,0)} \frac{2 x^{2} y}{x^{4}+y^{2}}$$

2, does not exist.

Calculus 1 / AB

Calculus 3

Chapter 12

Functions of Several Variables and Partial Differentiation

Section 2

Limits and Continuity

Functions

Partial Derivatives

Functions of Several Variables

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prove that limit Eggs going by intending to the Obama zero off two x squared, divided by by expressed above warplanes My square does not exist. Let us check along X is equal to zero So we don't limit ex coma by tending to the room A zero to zero square in divided by it but the role bubble or in tow Why skirt bigger zero Bye bye Square equals zero says Denominator has X to the power food To bring the denominator endorsing, we need to convert by square toe extra the power for so therefore we can put advisable. Rex is to the power three by do so. Therefore there s shape along. But why is evil rex three to the power to so began to limit x coma by attending to zero comal zero two x x x to the power three by two Extra de power four plus x to the power of three by two Well squared So we get because two x to the power find by two divided by three x to the power seven Answer is to buy Tilly Therefore, limit does not exist

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