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Find the limits in Exercises $1-12$.$$\lim _{(x, y) \rightarrow(0,0)} \frac{e^{y} \sin x}{x}$$

1

Calculus 3

Calculus 1 / AB

Chapter 14

Partial Derivatives

Section 2

Limits and Continuity in Higher Dimensions

Applications of the Derivative

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and this problem will start off with evaluating e to the X and using direct substitution will get eat 20 multiplied by sine of X, divided by acts. And in this case, we have before we even substitute. We could imagine as X is approaching zero here. There's a rule that tells us that this especially if we use Low Patel it would be co sign of X over one and then substituting Zero would just get us one. So really, we could use an identity here. You to the zero would also be one which would evaluate this whole limit, so one.

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