x--> (infinity) [(e^x / x^2)] --- e to the power of x divided by x to the power of 2 (or x square).
2006-11-12 15:13:29 · 4 answers · asked by Inshan 1 in Science & Mathematics ➔ Mathematics
Use L'Hospital's rule twice and get e^x/2 which has a limit of infinity.
2006-11-12 15:19:53 · answer #1 · answered by ironduke8159 7 · 0⤊ 0⤋
Exponential functions will always ultimately outdistance power functions if the root is > 1. Answer is +infinity. I think first step of proof would be to divide top and bottom by x.
2006-11-12 23:19:54 · answer #2 · answered by Gary H 6 · 0⤊ 0⤋
x -> inf?
Is this a limit problem?
lim (x->inf) f(x) is infinity because x^2 gets large "slower" then e^x
the graph will shoot strait up after a little bump or two (where the function is undefined)
2006-11-12 23:25:54 · answer #3 · answered by Anthony A 3 · 0⤊ 0⤋
â. All exponentials dominate all polynomials for sufficiently large x.
2006-11-12 23:17:13 · answer #4 · answered by Pascal 7 · 0⤊ 0⤋