need help with limit problem

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

need help with limit problem

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

1 Attachment
okay so my question is why is it dividing by n?
i thought you divided by the value with the largest power

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

guys pls help me out in my question
Next you should be asking why is it dividing by the term with largest power
i dont understand
Notice that "n" is indeed the largest power in the denominator, but clearly you're missing the key point, dividing by "n" is not really necessary here
Look at the expression \[\dfrac{n^3}{n+8}\] what happens to this term as "n" becomes large ? which one grows faster, numerator or denominator ?
the denominator
are you saying "n+8" grows faster than "n^3" ?
plugin n=10, 100 etc and see which one is growing faster
no i meant the numerator
Okay what about the value of expression as "n" gets large ?
it goes to infinity right
|dw:1436635975751:dw|
As you can see the function f(x) = x^3/(x+8) is increasing without any bound as x increases, so the corresponding sequence diverges
They are dividing top and bottom by "n" so that it becomes easy for you to see the same
\[a_n = \dfrac{n^3}{n+8} = \dfrac{n^2}{1+8/n}\] "plugin" \(n = \infty\), the expression becomes \[ \dfrac{\infty^2}{1+8/\infty} = \dfrac{\infty^2}{1+0} = \infty\]
i think i understand better now
In general : For any rational function, \(f(x) = \dfrac{P(x)}{Q(x)}\) , as \(x\to\infty\), we have \(f(x)\to\pm\infty\) if the degree of \(P(x)\) is greater than the degree of \(Q(x)\)

Not the answer you are looking for?

Search for more explanations.

Ask your own question