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Cloud [144]
3 years ago
9

Find the limit of (lnx)³/x as x approaches infinity.

Mathematics
1 answer:
EastWind [94]3 years ago
5 0
Ok, so one way is like your way

so
if we test some numbers
for x=10
we get about 12.3/10≈1.2
for x=100000
we get 1522.03/100000≈0.01522
the top number keeps getting smaller reletive to bottom number
when x=1000000000
we get 8899.68/1000000000≈0.000009

we notice the bottom number is increaseing at a faster rate that the botom one
when x approaches infinity,the bottom number will be so big it will become a fraction that evaluates to basically zero becuase it evaluates to a very small number that is negligible
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Which graphs below have a domain of all real numbers? Which have a range of all real numbers? Which are functions?
slava [35]

Answer:

Step-by-step explanation:

From the picture attached,

Graph (A)

Domain of the function : (-∞, ∞) or a set of real numbers

Range of the function : (-∞, ∞) or a set of real numbers

Graph (B),

Domain : (-∞, ∞) Or a set of real numbers

Range : (-∞, 6] Or x ≤ 6

Graph (C),

Domain : [-2, ∞) or x ≥ -2

Range : (-∞, ∞) Or a set of real numbers

Therefore, Graphs (A), (B) have the domain of all real numbers and Graph (C) has the range of all real numbers.

Since all the parabolas are not the functions,

Therefore, Graph (C) is not a function. Graphs (A) and (B) are the functions.

3 0
3 years ago
Mr. Roper has eight teams of students in his debate class. Their grades on the last debate assignment are denoted by the set (99
muminat

Answer:

l think 3rd option must be answer

4 0
3 years ago
Find the slope-intercept form of the equation of the line passing through the given points. (1, 1), (7, − 1 4 )
Serga [27]
Slope = (-14-1)/(7-1) = -15/6 

y = mx + c
y = -15/6 x + c
at (1,1)
1 =-15/6(1) + c
c = 1 + 15/6 = 21/6

y = -15/6 x + 21/6 or
6y = -15x + 21 

6 0
3 years ago
Rewrite as a simplefied fraction
9966 [12]
Answer:
79/25

Work:

Firstly, you have to change the decimal portion of 3.16 (0.16) into a fraction, then you simplify it by a common factor, which is 4. You then convert your whole number, which is 3, into an improper fraction by multiplying it by 25 and making that the numerator, 25 being the denominator of the fraction. Then, you add the two fractions and voila! You have a simplified fraction!

0.16 = 16/100

16/100 = 4/25

3 x 25 = 75

75/25 + 4/25 = 79/25
3 0
3 years ago
4. A Pelican was flying 3 feet above sea level, when it dove to catch a fish that was 2 feet below sea level. How far did the pe
Alenkasestr [34]

Answer: The pelican dove 5ft

Step-by-step explanation:

Pelican = 3ft

Fish = -2ft

Went down 3ft to get to 0, went down 2 more feet to get the fish.

4 0
2 years ago
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