What is the limit as (x,y) approaches (3,-3) of (e^{-xy})cos(x+y) ?

The limit as (x,y) approaches (3,-3) of (e^{-xy})cos(x+y) is e^9

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limit as (x,y) approaches (3,-3) of (e^{-xy})cos(x+y)

(x, y) \to (3, - 3) lim ((e^{- x y}) cos (x + y))

e^{9}

Decimal

8103.08392 \dots

Solution steps

(x, y) \to (3, - 3) lim (e^{- x y} cos (x + y))

Plug in the value

(x, y) = (3, - 3)

= e^{- 3 (- 3)} cos (3 - 3)

Simplify

e^{- 3 (- 3)} cos (3 - 3) : e^{9}

= e^{9}

3 x + 8, x^{2} + 2 x + 2, 0, 2

y (θ) = θ sin (θ)

{\frac{6 s + 3}{s ^{4} + 5 s ^{2} + 4}}

y^{^{'}} = 2 x y, y (1) = 1

\frac{d}{d x} (\frac{5}{sin ( x ) + cos ( x )})

What is the limit as (x,y) approaches (3,-3) of (e^{-xy})cos(x+y) ?
The limit as (x,y) approaches (3,-3) of (e^{-xy})cos(x+y) is e^9