L'hopital's rule
the limit of f(x)/g(x) as x approaches n is
take deritivive of top and bottom untill you get someting
this only applies if initiallly we get 0/0 or inifnity/infinity
(0^2cos(0))/(1-cos(0))=0/0
we can use it
take the deritivive of top and bottom
(2xcos(x)-x^2sin(x))/(sin(x))
gets 0/0
take derititve again of top and bottom
((2-x^2)cos(x)-4xsin(x))/(-cos(x))
2/1=
2
it approaches 2
The answer is five. Hope this helps
Answer:
x = -6
y = 8
Step-by-step explanation:
Using substitution method.
2x + y = -4 -----------(I)
y = - 4 - 2x -----------(II)
5x + 3y = -6 -------------------(III)
Substitute y = -4 -2x in equation (III)
5x + 3(-4-2x) = - 6
5x - 12 - 6x = -6
5x - 6x - 12 = -6
Combine like terms
-x - 12 = -6 {Add 12 to both sides}
-x = -6 + 12
-x = 6 {Multiply by (-1)}
x = -6
Substitute x = -6 in equation (II)
y = - 4 - 2*(-6)
= -4 + 12
y = 8