Solve the problem.Identify the incorrect statements about limits.I. The number L is the limit of f(x) as x approaches x0 if f(x) gets closer to L as x approaches x0.II. The number L is the limit of f(x) as x approaches x0 if, for any ? > 0, there corresponds a ? > 0 such that
< ? whenever 0 <
< ?.III. The number L is the limit of f(x) as x approaches x0 if, given any ? > 0, there exists a value of x for which
< ?.
A. I and III
B. II and III
C. I and II
D. I, II, and III
Answer: A
Mathematics
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Find all specified roots.Sixth roots of i.
A. cis , cis
, cis
, cis
, cis
,
B. cis , cis
, cis
, cis
, cis
, 1
C. cis , cis
, cis
, cis
, i
D. cis , cis
, cis
, cis
Mathematics
Assume that .
?
Use these values and the properties of logarithms to find the value
.
?
Do not use a calculator.
?
A. 1.5565 B. 1.5563 C. 1.556 D. 1.5561 E. none of these
Mathematics
Simplify.
A.
B.
C.
D.
Mathematics
Find the common difference for the arithmetic sequence.8, 13, 18, 23, . . .
A. 8 B. 3.75 C. 15 D. 5
Mathematics