What is the limit as (x,y) approaches (-6,5) of (x^2cos(piy))/(e^{x+y)} ?

The limit as (x,y) approaches (-6,5) of (x^2cos(piy))/(e^{x+y)} is -36e

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limit as (x,y) approaches (-6,5) of (x^2cos(piy))/(e^{x+y)}

(x, y) \to (- 6, 5) lim (\frac{x ^{2} cos ( π y )}{e ^{x + y}})

- 36 e

Decimal Notation

- 97.85814 \dots

Solution steps

(x, y) \to (- 6, 5) lim (\frac{x ^{2} cos ( π y )}{e ^{x + y}})

Plug in the value

(x, y) = (- 6, 5)

= \frac{( - 6 ) ^{2} cos ( π 5 )}{e ^{- 6 + 5}}

Simplify

\frac{( - 6 ) ^{2} cos ( π 5 )}{e ^{- 6 + 5}} : - 36 e

= - 36 e

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\int tan^{3} (θ) sec (θ) d θ

What is the limit as (x,y) approaches (-6,5) of (x^2cos(piy))/(e^{x+y)} ?
The limit as (x,y) approaches (-6,5) of (x^2cos(piy))/(e^{x+y)} is -36e