Cálculo de limite

Seja \(f: D \subset \mathbb{R^2} \to \mathbb{R^3} \) uma função dada por \(f\)\(\left(\begin{array}{c}x\\y\\\end{array}\right)\)=\(\left(\begin{array}{c}\sin(2xy)\\-\cos^2(2xy)\\-\sin(2xy)-\cos(2xy)\\\end{array}\right)\). Então \(\underset{\left(\begin{array}{c}x\\y\\\end{array}\right)\to\left(\begin{array}{c}-\frac{\pi}{3}\\1\\\end{array}\right)}{\text{lim}}\,\pmb{\text{f}}\left(\begin{array}{c}x\\y\\\end{array}\right)\) é igual a:

A)\(\left(\begin{array}{c}-\frac{\sqrt{3}}{2}\\-\frac{1}{4}\\\frac{1}{2}+\frac{\sqrt{3}}{2}\\\end{array}\right)\)

B)\(\left(\begin{array}{c}-\frac{\sqrt{3}}{2}\\-1\\-1\\\end{array}\right)\)

C)\(\left(\begin{array}{c}\frac{\sqrt{3}}{2}\\-\frac{1}{4}\\\frac{1}{2}-\frac{\sqrt{3}}{2}\\\end{array}\right)\)

D)\(\left(\begin{array}{c}0\\-1\\-1\\\end{array}\right)\)

Para obter o zip que contém as instâncias deste exercício clique aqui(limitesRnRm)

Se deseja obter o código fonte que gera os exercícios contacte miguel.dziergwa@ist.utl.pt