Does knowing that tell you anything about Give reasons for

Chapter 13, Problem 55E

(choose chapter or problem)

Does knowing that

$1-\frac{x^{2} y^{2}}{3}<\frac{\tan ^{-1} x y}{x y}<1$

tell you anything about

$\lim _{(x, y) \rightarrow(0,0)} \frac{\tan ^{-1} x y}{x y}$

Give reasons for your answer.

Equation Transcription:

$1-\frac{{x}^{2}{y}^{2}}{3}<\frac{{tan}^{-1}\ xy}{xy}<1$

$\lim\limits_{{(x,\ y)} \rightarrow {(0,\ 0)}}\frac{{tan}^{-1}\ xy}{xy}$

Text Transcription:

1-x^2y^2/3 < tan^-1 xy/xy < 1

lim_(x,y) rightarrow (0,0) tan^-1 xy/xy

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