Question

find the limit as it approaches infinite and negative infinite for f(x)= (x^2)(e^(-x^2))

Answer 1

\[f(x)=x ^{2}e ^{-x ^{2}}\]

Answer 2

If you let x approach infinity e ^-(-infinity)^2 will converge to 0 so f(x) will be 0.

Answer 3

The same result will stand if x approaches positive infinity because of the negative coefficient of x^2

Answer 4

Do you get it?

Answer 5

If you take a look at the graph of the equation you will realize that as x approaches both positive and negative infinity the function approaches 0: http://www.coolmath.com/graphit/

Answer 6

yeah i do, thanks :)