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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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On each of n plates there are k apples and m pears. What is the total number of fruit are there on these plates?

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Step-by-step explanation:

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HELP PLEASEE!!! I just need help with the 2 boxes

Soloha48 [4]

Answer:

$y= x - 300$

$y = -246$ -- Her equivalent weight on earth

Step-by-step explanation:

Given

The attached table

Required

Fill in the gaps

(a) The equation

First, we calculate the slope (m)

$m = \frac{y_2 - y_1}{x_2 - x_1}$

From the table, we can say that:

$(x_1,y_1) = (0,-300)$

$(x_2,y_2) = (300,0)$

So, we have:

$m = \frac{0 -(-300)}{300 - 0}$

$m = \frac{0 +300}{300}$

$m = \frac{300}{300}$

$m = 1$

The equation is then calculated using:

$y - y_1 = m(x - x_1)$

This gives:

$y - (-300) = 1(x - 0)$

$y +300 = 1(x)$

$y +300 = x$

$y= x - 300$

(b) When x = 54

Substitute 54 for x in $y= x - 300$

$y = 54 - 300$

$y = -246$

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3 years ago