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Find the limit: lim x->∞ 2x^4+6x^2+5/3+x^3

2007-12-29 06:43:39 · 6 answers · asked by Anonymous in Science & Mathematics Mathematics

6 answers

it's +∞

2007-12-29 06:46:33 · answer #1 · answered by Anonymous · 0 0

After plugging in ∞ for x we obtain ∞/∞ or undefined, thus the next step is to divide through by x^3 obtaining
(2x + 6/x + 5/x^3)/(3/x^3 + 1) which yields:
(2*∞ + 0 + 0)/(0 + 1), or a final answer of:
∞.

2007-12-29 15:04:58 · answer #2 · answered by RODNEY_LEE 4 · 0 0

Use L'Hospitals Rule
= lim x->∞ (8x^3+12x)/(3x^2)
= lim x->∞ (24x^2+12)/6x
= lim x->∞ (48x/6 )
= lim x->∞ (8x) = ∞

2007-12-29 06:51:47 · answer #3 · answered by ironduke8159 7 · 0 0

the limit does not exist.

2007-12-29 06:46:27 · answer #4 · answered by eeeelisabeth<3 2 · 0 0

i learned limits and im not even in calc yet.. wow.

2007-12-29 16:49:00 · answer #5 · answered by Anonymous · 0 0

dont know

2007-12-29 06:46:41 · answer #6 · answered by momma`````` 2 · 0 0

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