Find the limit of the function algebraically.
lim 2+x/x^3
x-0

Question

Find the limit of the function algebraically.
lim        2+x/x^3
x->0

anonymous · Answer

it goes to infinity positive

anonymous · Answer

if you meant
(2+x)/(x^3) then there is no limit

anonymous · Answer

+ or - infinite 
 0+ or 0-

anonymous · Answer

Can I have the steps to find this answer. So, I know how to do future problems.

anonymous · Answer

well typically you wanna eveluate at zero. 

but since you cant. You choose a very small number close to zero.

It should yield a large number and you assume the smaller your x gets the more  your results go to infinity.

anonymous · Answer

to see if it doesn't have a limit

then you would try to approach it from left and right

like for example in yours  you'd wanna pic

you cant pic 0

so you will pic somthing close

.0000001

and -.0000001

Both approaches should reach same number.

anonymous · Answer

if it doesnt approache same number then there is no limit.