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anonymous

  • 5 years ago

locate the discontinuity y = 4/(9 + e^(7/x))

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  1. watchmath
    • 5 years ago
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    x=0 only

  2. anonymous
    • 5 years ago
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    could you explain

  3. watchmath
    • 5 years ago
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    the function e^(7/x) is undefined at x=0, other than that e^(7/x) is continuous

  4. anonymous
    • 5 years ago
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    oh, so its discontinuous when the domain is undefined or zero?

  5. watchmath
    • 5 years ago
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    That is one of the case where the function discontinuous. Remember that the function is continuous at x=c if \(\lim_{x\to c}f(x)=f(c)\). So if we can't evaluate f(c), i.e., f(c) is undefined then that immediatly implies that the function is discontinuous at x=c.

  6. anonymous
    • 5 years ago
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    could you help with this _________discontinuity of y = ln((tan(x))2)

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