Solve the problem.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. The limit of as
from the left exists, the limit of
as
from the right exists, and these two limits are the same.
C. Either the limit of as
from the left exists or the limit of
as
from the right exists
D. 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).
Answer: B
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Solve the problem.Suppose that the total annual consumption of salmon in a certain country is given by and that the total annual consumption of tuna in this country is given by
, where consumption is measured in millions of pounds and x is the number of years since 2010. Find the year in which consumption of salmon reaches consumption of tuna.
A. 2027 B. 2025 C. 2023 D. 2028
Expand the expression using the Binomial Theorem.(3x2 - 1)3
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Use the properties of inverse trigonometric functions to evaluate .
A.
B.
C.
D.
E.