I need to evaluate the limit:
lim[sub
yd78lgy]x->infinity[/subyd78lgy] xe^(-x^2) .
I am trying to approach it using l'Hospital's Rule. I first put the e[supyd78lgy]-x^2[/supyd78lgy] in the denominator to get
x/e[supyd78lgy]x^2[/supyd78lgy] . I can do that right?
This of the "infinity"/"infinity" but after taking the derivative of the top and the bottom I get:
lim[subyd78lgy]x->infinity[/subyd78lgy] 1/2xe[supyd78lgy]x^2[/supyd78lgy] = 0.
Is that correct or am I making a mistake somewhere?
lim[sub
yd78lgy]x->infinity[/subyd78lgy] xe^(-x^2) .I am trying to approach it using l'Hospital's Rule. I first put the e[sup
yd78lgy]-x^2[/supyd78lgy] in the denominator to getx/e[sup
yd78lgy]x^2[/supyd78lgy] . I can do that right?This of the "infinity"/"infinity" but after taking the derivative of the top and the bottom I get:
lim[sub
yd78lgy]x->infinity[/subyd78lgy] 1/2xe[supyd78lgy]x^2[/supyd78lgy] = 0.Is that correct or am I making a mistake somewhere?