Question

what is the limit when x approaches 0 from the right when intx/x

Answer 1

like, what's an intx?

Answer 2

Asymptotes?

Answer 3

what do you mean?

Answer 4

Ahh, nevermind.

Answer 5

I'm pretty sure that int(x) means nearest integer, or also known as floor(x)

Answer 6

but how do I use that to find the limit?

Answer 7

I'm currently on my iPad, so I can't really use LaTeX nicely. But here:
We have that floor(x) as x->0+ is zero, without increase over some neighborhood. So, 0/x is always zero for all x>0. Therefore the limit is zero.

Answer 8

It still isn't making sense though? how do we have floor(x) as x ->0+ = 0? not following

Answer 9

the integer function is a step function, if x is between 1 and 2 then int(x) = 1
if x is between 0 and 1, then int(x) = 0
so for x<1 , int(x) = 0
and 0/n = 0 right so when x<0 , int(x)/x = 0
--> limit then is 0 since as you approach x=0, int(x)/x remains 0

Answer 10

that makes sense but they don't give us any < or > to x.. they just give us that it approaches 0 from the right, and intx/x

Answer 11

the "< >" are implied with the int(x) function
if it approaches from right then x>0 but getting closer and closer to 0