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anonymous

  • one year ago

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

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  1. freckles
    • one year ago
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    what is intx?

  2. freckles
    • one year ago
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    is that floor function?

  3. anonymous
    • one year ago
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    an integer times x

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

  5. freckles
    • one year ago
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    do you know how to find the limit as x approaches 0 from the right of the function f(x)=x?

  6. anonymous
    • one year ago
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    i didn't understand

  7. freckles
    • one year ago
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    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|

  8. freckles
    • one year ago
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    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

  9. freckles
    • one year ago
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    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

  10. anonymous
    • one year ago
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    okay so how can i determine the limit then

  11. freckles
    • one year ago
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    you can use the graph above

  12. freckles
    • one year ago
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    |dw:1442048761427:dw|

  13. anonymous
    • one year ago
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    so we can always us 0 as c to solve ?

  14. freckles
    • one year ago
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    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

  15. freckles
    • one year ago
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    I didn't say you can use c=0 you have to consider all cases as I did above

  16. freckles
    • one year ago
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    c>0 c<0 c=0 but in all three cases you should see the same limit

  17. freckles
    • one year ago
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    for your question anyways

  18. anonymous
    • one year ago
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    can i use the same method for limit when x approaches 0 from the left when intx

  19. anonymous
    • one year ago
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    i will have the same answer?

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