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fgiga [73]
3 years ago
9

Use the properties of limits to help decide whether the limit exists. If the limit​ exists, find its value. ModifyingBelow lim W

ith x right arrow infinity StartFraction 6 x cubed plus 5 x minus 7 Over 6 x Superscript 4 Baseline minus 4 x cubed minus 9 EndFraction
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
8 0

Answer:

The value of given limit problem is 0.

Step-by-step explanation:

The given limit problem is

lim_{x\rightarrow \infty}\dfrac{6x^3+5x-7}{6x^4-4x^3-9}

We need to find the value of given limit problem.

Divide the numerator and denominator by the leading term of the denominator, i.e., x^4

lim_{x\rightarrow \infty}\dfrac{\frac{6x^3+5x-7}{x^4}}{\frac{6x^4-4x^3-9}{x^4}}

lim_{x\rightarrow \infty}\dfrac{\frac{6}{x}+\frac{5}{x^3}-\frac{7}{x^4}}{6-\frac{4}{x}-\frac{9}{x^4}}

Apply limit.

\dfrac{\frac{6}{ \infty}+\frac{5}{ \infty}-\frac{7}{ \infty}}{6-\frac{4}{ \infty}-\frac{9}{ \infty}}

We know that \frac{1}{\infty}=0.

\dfrac{0+0-0}{6-0-0}

\dfrac{0}{6}

0

Hence, the value of given limit is 0.

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Which of the following correctly expresses the number below in scientific
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Answer:

D.) 5.19×10^{-5}

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  

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A sports ball has a diameter of 16cm. Find the volume of the ball
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6 0
3 years ago
Read 2 more answers
Given:<br> m∠LON=77 °<br> m∠LOM=9x+44 °<br> m∠MON=6x+3 °<br><br> Find ∠MON
NISA [10]

Answer:

m\angle MON=15^o

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

m\angle LON=m\angle LOM+m\angle MON ---> by addition angle postulate

substitute the given values

77^o=(9x+44)^o+(6x+3)^o

solve for x    

77=(15x+47)

15x=77-47                                

15x=30\\x=2                                                

<em>Find the measure of angle MON   </em>

m\angle MON=(6x+3)^o      

substitute the value of x        

m\angle MON=(6(2)+3)=15^o                                                                        

8 0
3 years ago
What numbers are the number 928,489 divisible by
galina1969 [7]
I think you can divide that number by either 1 or 0
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3 years ago
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