All categories

3 years ago

Please help! Limits. Just confirm that an coverages to 2 as n-->infinity

Mathematics

1 answer:

Alexxandr [17]3 years ago

7 0

Answer:

Limit is 2

Step-by-step explanation:

The last term approaches zero as n approaches infinity so the fuction approaches 2.

You might be interested in

Kremena's bank account earns 4.5% simple interest per year. How much must she deposit in the account today if she wants it to be

oksian1 [2.3K]

Answer:

1095$ should be invested today .

Step-by-step explanation:

The formula of present value will be applied here :

Present Value= Future Value/(1+ interest rate)^Years

Present Value = 1250/(1.045)^3

6 0

3 years ago

Read 2 more answers

Con

mr Goodwill [35]

Answer:

The coordinates of E are $E(x,y) = \left(\frac{9}{2}, 0 \right)$ .

Step-by-step explanation:

The triangle ABC represents a right triangle as both sides AB and AC are orthogonal to each other. The side AB is in the y axis, whereas the side AC is in the x axis. The triangle is dilated with respect to the origin, in which point A is set.

Vectorially speaking, dilation is defined by the following operation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y) - O(x,y)]$ (1)

Where:

$O(x,y)$ - Point of reference.

$P(x,y)$ - Original point.

$P'(x,y)$ - Dilated point.

$k$ - Dilation factor.

By applying this operation, point B becomes point D:

$B(x,y) = (0,4)$ , $D(x,y) = (0,6)$

$D(x,y) = (0,0) + k\cdot [(0,4)- (0,0)]$

$D(x,y) = (0,0) + k\cdot (0,4)$

$(0,6) = (0,0) +(0,4\cdot k)$

$(0, 6) = (0,4\cdot k)$

$k = \frac{3}{2}$

Lastly, we transform point C into point E by applying the same operation: $C(x,y) = (3, 0)$ , $O(x,y) = (0,0)$ and $k = \frac{3}{2}$

$E(x,y) = (0,0) + \frac{3}{2}\cdot [(3,0)-(0,0)]$

$E(x,y) = \left(\frac{9}{2}, 0 \right)$

The coordinates of E are $E(x,y) = \left(\frac{9}{2}, 0 \right)$ .

8 0

3 years ago

3-1/8a=1/4<br><br> Pleasseeee help

Vika [28.1K]

3 - 1/8a = 1/4

The goal is to isolate "a" and its coefficient to make the simplification process easier.

Start by subtracting 3 from both sides:

3 - 3 - 1/8a = 1/4 -3

-1/8a = 1/4 - 3

Next, multiply 3 by 4/4 to convert it into a fraction:

-1/8a = 1/4 - [3 • (4/4)]

-1/8a = 1/4 - 12/4

-1/8a = - 11/4

Multiply both sides by -8:

(-8) -1/8a = - 11/4 (-8)

a = 88/4 = 22

Therefore, a = 22.

7 0

3 years ago

Read 2 more answers

Round 21,000 to the nearest 10,000

kolezko [41]

The answer will be 20,000

5 0

3 years ago

Read 2 more answers

Add the mixed fraction 2 1/7 and 3 3/7

In-s [12.5K]

Answer: