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Cloud [144]
2 years ago
9

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

Mathematics
1 answer:
EastWind [94]2 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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uranmaximum [27]

Answer:

a is -1, -2

b is -1, 2

c is 2, 2

Step-by-step explanation:

i hope i helped

4 0
2 years ago
Order the fractions from least to greatest.
pantera1 [17]

Answer:

that would be c

Step-by-step explanation:

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2 years ago
Use distributive property to rewrite <br><br> 1. 4(x + 9) <br><br> 2. 3 (-2x + 4)
Kobotan [32]

1. 4x+36

2. -6x+12

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8 0
3 years ago
Ab^2-4/10 when a=4 b=6
hammer [34]

\huge\text{Hey there!}

\large\boxed{\rm{\dfrac{ab^2 - 4}{10}}}

\large\boxed{\rm{\rightarrow\dfrac{\bold{4(6)}^2 -4}{10}}}

\large\boxed{\rm{6^2}}

\large\boxed{\rm{= 6 \times6}}

\large\boxed{\rm{= \bf 36}}

\large\boxed{\rm{\rightarrow\dfrac{4(\bold{36)}- 4}{10}}}}

\large\boxed{\rm{4(36)}}

\large\boxed{\rm{= \bf 144}}}

\large\boxed{\rm{\rightarrow\dfrac{\bold{144} - 4}{10}}}

\large\boxed{\rm{\bold{144} - 4}}

\large\boxed{= \rm{\bf 140}}}

\large\boxed{\rm{\rightarrow\dfrac{\bold{140}}{10}}}

\large\boxed{\rm{= \bf 14}}

\huge\boxed{\rm{Therefore, your\ answer\ is: \mathsf{14}}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

4 0
2 years ago
The function d(t)=-2t^2+9t+18 most closely represents the height(h) of the golf ball in feet after t seconds. How long is the go
Kobotan [32]

Answer:

Step-by-step explanation:

d(t)=-2t^2+9t+18

calculate the derivate : f'(t) = - 4t+9

f'(t) = 0 : - 4t+9= 0   so t = 9/4

the maximum value is f(9/4) = ....... continue

3 0
3 years ago
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