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natima [27]
3 years ago
14

What is the limit of the infinite series?

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
7 0

Answer:

does not exist

Step-by-step explanation:

According to the divergence test, for an infinite series ∑ aₙ, the series diverges if lim(n→∞) aₙ ≠ 0.

Applying the divergence test here:

lim(n→∞) (3n⁵ / (4n⁵ + 1)) = 3/4

This is not 0, so the series does not converge, meaning the sum does not exist.

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A line passes through the point (-4,9) and has a slope of 5/2
olga nikolaevna [1]
Y=5/2x+9 I believe would be the answer
6 0
3 years ago
Suppose $n$ is a positive integer such that $6n$ has exactly 9 positive divisors. How many prime numbers are divisors of $6n$
zvonat [6]

The number of prime divisors of "6n" is 2 numbers 2 and 3

Given

"n"  = 6    

thus 6n  = 6(6) = 36

The positive divisors are   1, 2, 3, 4, 6, 9, 12, 18 and 36

So, the number of prime divisors of "6n" is 2 numbers 2 and 3.

The prime factors of a positive integer are the top numbers that divide that integer exactly. The technique of finding those numbers is known as integer factorization or prime factorization.

The fundamental theorem of mathematics says that every positive integer has a completely unique prime factorization.

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6 0
2 years ago
Determine the cardinality of each set.
krek1111 [17]

The cardinality of a set refers to the number of elements in the set. It is found by counting  the elements in the set.

<h3>What is cardinality of a set?</h3>

The cardinality of a set refers to the number of elements in the set. To obtain the cardinality, we have to count the elements in the set.

a) There are 6 elements in this set hence the cardinality is 6.

b) There is only one element in the set hence its cardinality is 1.

c) There are two elements in the set hence the cardinality is 2.

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5 0
2 years ago
3 questions
max2010maxim [7]
1) 4 is 44.44% of 9

2) 3000 is 39.68% of 7560

3) 1.3 is 4.81% of 7

Answers

1) 44.44%

2) 39.69%

3) 4.81%
8 0
3 years ago
Please help and don’t put no link pls
myrzilka [38]

Answer:

59 cm^2

Step-by-step explanation:

4 0
3 years ago
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