Mathematics
Mathematics, 29.07.2020 04:01, yaboi2018

The sandwich theorem for functions of two variables states that if g(x, y)≀f(x, y)≀h(x, y) for all (x, y)β‰ (x0,y0)
in a disk centered at
(x0,y0)
and if g and h have the same finite limit L as
(x, y)β†’(x0,y0)
then
lim(x, y)β†’(x0,y0)f(x, y)=L.
Use this result to support your answers to the question. Does knowing that
2|xy|βˆ’x2y26<4βˆ’4cos|xy|βˆ’βˆ’βˆ’βˆš<2| xy|
2 | x y | - \frac { x ^ { 2 } y ^ { 2 } } { 6 } < 4 - 4 \cos \sqrt { | x y | } < 2 | x y | tell you anything about
lim(x, y)β†’(0,0)4βˆ’4cos|xy|βˆ’βˆ’βˆ’βˆš|xy|?

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The sandwich theorem for functions of two variables states that if g(x, y)≀f(x, y)≀h(x, y) for all...

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