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Math Help - continuity

  1. #1
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    continuity

    Im having trouble with this problem :

    Consider the following. f(x)=tan(πx/2)



    Find the x-values at which f is not continuous. Are these discontinuities removable? (Use k as an arbitrary integer. If an answer does not exist, enter DNE.)
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  2. #2
    Super Member bigwave's Avatar
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    Quote Originally Posted by sydewayzlocc View Post
    Im having trouble with this problem :

    Consider the following. f(x)=tan(πx/2)



    Find the x-values at which f is not continuous. Are these discontinuities removable? (Use k as an arbitrary integer. If an answer does not exist, enter DNE.)
    functions are not continous where there is asymptotes

    if you graph this you see that there are asymptotes k distance apart

    hope this helps
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  3. #3
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    can you explain that a little more?
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  4. #4
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    Quote Originally Posted by sydewayzlocc View Post
    can you explain that a little more?
    tan(odd multiples of pi/2) is undefined
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  5. #5
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    im still confused as to how to answer this, i know that its undefined at odd multiples of pi/2 but how do i write that as a value of x?
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  6. #6
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    Quote Originally Posted by sydewayzlocc View Post
    im still confused as to how to answer this, i know that its undefined at odd multiples of pi/2 but how do i write that as a value of x?
    x = 2k+1 \, , \, x \in \mathbb{Z}
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