anonymous
  • anonymous
what is the limit when x approaches 0 from the right when intx
Mathematics
jamiebookeater
  • jamiebookeater
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freckles
  • freckles
what is intx?
freckles
  • freckles
is that floor function?
anonymous
  • anonymous
an integer times x

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freckles
  • 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
  • freckles
do you know how to find the limit as x approaches 0 from the right of the function f(x)=x?
anonymous
  • anonymous
i didn't understand
freckles
  • 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
  • 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
  • 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
  • anonymous
okay so how can i determine the limit then
freckles
  • freckles
you can use the graph above
freckles
  • freckles
|dw:1442048761427:dw|
anonymous
  • anonymous
so we can always us 0 as c to solve ?
freckles
  • 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
  • freckles
I didn't say you can use c=0 you have to consider all cases as I did above
freckles
  • freckles
c>0 c<0 c=0 but in all three cases you should see the same limit
freckles
  • freckles
for your question anyways
anonymous
  • anonymous
can i use the same method for limit when x approaches 0 from the left when intx
anonymous
  • anonymous
i will have the same answer?

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