Question

calculate the following limits and represents the result you get (represents the asymptotes and associated curves in appropriate cases).

\[\lim_{x \rightarrow + \infty} \left( x^{2}/3 - 2x \right)\]

Answer 1

is this
\[\frac{x^2}{3-2x}\]?

Answer 2

no

Answer 3

oh

Answer 4

\[\frac{x^2}{3}-2x\]?

Answer 5

\[\frac{ x2 }{ 3 } - 2x\]

Answer 6

yes

Answer 7

@satellite73

Answer 8

this is a quadratic polynomial, therefore the graph is a parabola that opens up (because the leading coefficient is positive)
therefore as \(x\) gets larger, it goes to infinity as well

Answer 9

i dont understand..

Answer 10

http://www.wolframalpha.com/input/?i=y%3Dx^2%2F3-2x

Answer 11

as \(x\) gets larger, so does \(\frac{x^2}{3}-2x\)
try it with \(x=10,000\) and see what you get

Answer 12

i got -33326