4 years ago

What is the limit of the infinite series?

Mathematics

1 answer:

Ipatiy [6.2K]4 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.

You might be interested in

The function m(w) = –25w + 2500 models the amount of money in a safe, in dollars, w weeks after Lori learned the combination to

elena55 [62]

Answer:

B) There will be no money in the safe 100 weeks after Lori learned the combination.

I hope this answer is right.

5 0

3 years ago

If the lines of a system of equations never intersect then, then the system has no____

eduard

Answer:

solution

Step-by-step explanation:

7 0

3 years ago

9. Rama is using a hand glider to fly directly from the top of one cliff onto another cliff below. The glider is guided by a cab

dexar [7]

Answer:

791.2 ft

Step-by-step explanation:

The cable is inclined and this acts as the hypotenuse. Since the other two sides are given.

$H=\sqrt {x^{2}+y^{2}}$

where x and y represent the distance between two cliffs apart and difference in heights. Substituting 740 for x and 280 for y then

$H=\sqrt {740^{2}+280^{2}}=791.20161779409930627669981858168023442712 ft\approx 791.2 ft$

6 0

4 years ago

Read 2 more answers

Given the polynomial 2x^3+18x^2-18x-162, what is the value of the constant "k" in the factored form?

maxonik [38]

2x³+18x²<span>-18x-162 =
2(</span>x³+9x²-9x-81)=
2(x²(x+9)-9(x+9))=
2(x²-9)(x+9)=
2(x+3)(x-3)(x+9)

Answer: k=3

7 0

3 years ago

Find the distance between A (-3,<br> - 4) and B (5. – 10).

Kamila [148]

Answer:

16.13

Step-by-step explanation:

Sorry!! if I am wrong....

7 0

3 years ago