Question

What is the vertical asymptote of y=e^(-x^2)?

Answer 1

can you find the domain of e^-x^2 ?

Answer 2

All real numbers

Answer 3

correct!
so there will be no vertical asymptote!
right ?
you know what vertical asymptoote is ?

Answer 4

Oh I get it! The VA is where the x value is undefined!

Answer 5

How would you prove this using limits?

Answer 6

correct :)
here every value of x is defined :)
wait, let me think...

Answer 7

Actually nevermind! Do you know how to find the horizontal asymptote?

Answer 8

we know that if
lim x->a f(x) = infinity
then x=a is the vertical asymptote of f

Answer 9

using limits ?

Answer 10

Yes! Thank you!

Answer 11

So it's Lim x--> infinity f(x) but what is e^-infinity?

Answer 12

oh it's 0!

Answer 13

yes

Answer 14

I understand it now! Thank you for going through every step with me.

Answer 15

welcome ^_^
fr horizontal asymptote, you only take lim x->infinity f(x)

Answer 16

Ok I understand :)