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- anonymous

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

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- anonymous

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

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- freckles

what is intx?

- freckles

is that floor function?

- anonymous

an integer times x

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- freckles

really? that is odd notation then \[\lim_{x \rightarrow 0^+} c x =c \lim_{x \rightarrow 0^+}x \text{ since } c \text{ is a constant } \\ \text{ doesn't matter if it is an integer or a real number } \\ \text{ can you still bring the constant multiple out }\]

- freckles

do you know how to find the limit as x approaches 0 from the right of the function f(x)=x?

- anonymous

i didn't understand

- freckles

you can bring the constant multiple outside the limit
but if you haven't talked about that just graph f(x)=cx
if c is positive you have something that looks like
|dw:1442048532835:dw|
if c is negative you have something that looks like
|dw:1442048507739:dw|

- freckles

either way no matter if c is negative or positive
you should see that the limit is the same when x approaches from the right

- freckles

you can even take c=0
and you would have f(x)=0 then
and we know the limit as x approaches any number of constant function f(x)=c is going to be c

- anonymous

okay so how can i determine the limit then

- freckles

you can use the graph above

- freckles

|dw:1442048761427:dw|

- anonymous

so we can always us 0 as c to solve ?

- freckles

no
anyways that is if you really have an integer times x
but I'm not too sure you have this
intx is weird notation for that
anyways hopes the above helps if you really meant c times x
where c is an integer

- freckles

I didn't say you can use c=0
you have to consider all cases as I did above

- freckles

c>0
c<0
c=0
but in all three cases you should see the same limit

- freckles

for your question anyways

- anonymous

can i use the same method for limit when x approaches 0 from the left when intx

- anonymous

i will have the same answer?

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