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3 years ago

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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Y=-2x²-8x-5 domain and range

Jobisdone [24]

Answer:

Domain: All real numbers

Range: y≤3

Step-by-step explanation:

The given function is

$y = - 2 {x}^{2} - 8x - 5$

This is a polynomial function.

The domain is set of all values of x, that makes this function defined.

Since polynomial functions are defined everywhere, the domain is all real numbers.

To find the range we put the function in vertex form:

$y = - 2( {x}^{2} + 4x) - 5$

$y = - 2( {x}^{2} + 4x + 4) - 5 + - 4 \times - 2$

$y = - 2( {x} + 2)^{2} - 5 + 8$

$y = - 2( {x} + 2)^{2} + 3$

The maximum value is 3

The function turns downward, hence the range is:

$y \leqslant 3$

6 0

3 years ago

To find the height of a pole, a surveyor uses a theodolite. The theodolite is 4 ft tall. The surveyor stands 140 feet away from

MakcuM [25]

This is the answer hope it helps

4 0

3 years ago

PLEASE HELP, MUST ANSWER NOW!!!!!!!!!!

klasskru [66]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Use properties to find the sum or product<br><br> 8x51

SCORPION-xisa [38]

$8\times51=8\times(50+1)=8\times50+8\times1=400+8=408$

3 0

2 years ago

The area of a parallelogram is 6 ft' and the height is 3 ft. Find the length of the corresponding base.

Reil [10]

Just do 6/3 because you have the area and one length, just divide the area by the height you have.

6 0

2 years ago