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laila [671]
3 years ago
13

Evaluate the limit. lim x-> infinity n/3^x

Mathematics
1 answer:
Sav [38]3 years ago
7 0

Answer:

0

Step-by-step explanation:

Find the following limit:

lim_(x->∞) 3^(-x) n

Applying the quotient rule, write lim_(x->∞) n 3^(-x) as (lim_(x->∞) n)/(lim_(x->∞) 3^x):

n/(lim_(x->∞) 3^x)

Using the fact that 3^x is a continuous function of x, write lim_(x->∞) 3^x as 3^(lim_(x->∞) x):

n/3^(lim_(x->∞) x)

lim_(x->∞) x = ∞:

n/3^∞

n/3^∞ = 0:

Answer:  0

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9. Solve for x: 2x – y = (3/4)x + 6.​
AlekseyPX

Answer:

x = 4(y + 6)/5

Step-by-step explanation:

2x - y = (3/4)x + 6

2x - (3/4)x = y + 6

(8x - 3x)/4 = y + 6

5x/4 = y + 6

5x = 4(y + 6)

5x = 4y + 24

x = (4y + 24)/5

Therefore, x = 4(y + 6)/5

4 0
3 years ago
Part A
ivann1987 [24]
The answer is, C
2x +3y=7.20
4x+2y=8.80
6 0
3 years ago
A line passes through the points (-1, -6) and (-4, 3). What is the equation of this line in slope-intercept form?
g100num [7]

Since we have two ordered pairs, we can find the slope by plugging them into (y2-y1)/(x2-x1) which translates to (3-(-6))/(-4-(-1))=9/-3=-3

Since the slope is -3, we have the equation y=-3x+b, but we don't know b. So we plug in values for x and y and solve for b.

-6=-3(-1)+b

-6=3+b

-9=b

So the y-intercept is -9 and the full equation is y=-3x-9 which means A is the only correct answer.

Hope this helped!

4 0
4 years ago
What is the similarity between 85,17,19,4 and 2?
Anvisha [2.4K]
You can obtain the a number for which they all divisors by calculating the least common multiple.

This way:

85 = 5*17*1
17=17*1
19=19*1
4=2^2 *1
2=2*1

The least common multiple is: 5*17*19*2^2 = 6,460.

Then 84, 17, 19, 4 and 2 are all divisors of 6,460.
6 0
3 years ago
Find the surface area of the rectangular prism.<br> 8 m<br> 4 m<br> 1 m
Dmitry_Shevchenko [17]

Answer:

A=2(wl+hl+hw)

Step-by-step explanation:

5 0
2 years ago
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