DylanM7276 DylanM7276
  • 10-10-2019
  • Mathematics
contestada

Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (x, y)→(2, 2) e^− xy cos(x + y)

Respuesta :

LammettHash
LammettHash LammettHash
  • 10-10-2019

[tex]e^{-xy}\cos(x+y)[/tex] is continuous everywhere because the component functions [tex]e^{-x}[/tex] and [tex]\cos x[/tex] are continuous. So

[tex]\displaystyle\lim_{(x,y)\to(2,2)}e^{-xy}\cos(x+y)=e^{-4}\cos4[/tex]

Answer Link

Otras preguntas

Does the choice of the base change the area of a parallelogram
where is the irony in the quote "fail not our feast" from act 3 scene 1 in Macbeth?
how do you solve for n in 5n=4n+32
sophia has 3 pink tulips and 3 white tulips. what fraction of Sophia's tulips are pink
the election of 1800 decided by
What is the answer of this problem 8 (s+3)=72
How does the Supremacy Clause affect US judges? A. The Supremacy Clause states that judges can amend state laws. B. The Supremacy Clause states that no judge ca
what is the simplified form of the expression? 3^3 ×32+12÷4
the sum of two numbers is 50 the first number is 43 less than twice the second number write and solve a system of equations to find the two numbers
Three consecutive integers such the three times the smallest is 12 more then the largest. Find the integers.