Provide an appropriate response.What conditions, when present, are sufficient to conclude that a function f(x) has a limit as x approaches some value of a?
A. f(a) exists, the limit of as
from the left exists, and the limit of
as
from the right exists.
B. Either the limit of as
from the left exists or the limit of
as
from the right exists
C. The limit of as
from the left exists, the limit of
as
from the right exists, and at least one of these limits is the same as f(a).
D. The limit of as
from the left exists, the limit of
as
from the right exists, and these two limits are the same.
Answer: D
You might also like to view...
Replace the polar equation with an equivalent Cartesian equation.r =
A. = 1
B. 7x - 9y = 1
C. 7y - 9x = 1
D. +
= 1
Use integration by parts to establish a reduction formula for the integral.
A. =
cosn-1 x sin x -
B. = cosn-1 x sin x - (n - 1)
C. = - cosn-1 x sin x + (n - 1)
D. =
cosn-1 x sin x +
Translate to a proportion and solve. 106 is what percent of 100?
A. 10.6% B. 1.06% C. 6% D. 106%
Solve by the method of elimination by addition or subtraction.x + 3y = 9 9x + 2y = -44
A. x = 6, y = 6 B. x = -7, y = 6 C. x = -6, y = 5 D. Inconsistent