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whitepanda10

  • 3 years ago

whats the 3 step process for determining continuity?

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  1. satellite73
    • 3 years ago
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    at a point or on an entire interval?

  2. satellite73
    • 3 years ago
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    3 step process?

  3. whitepanda10
    • 3 years ago
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    for a function in general at any points

  4. CalculusHelp
    • 3 years ago
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    A function f( x) is said to be continuous at a point ( c, f( c)) if each of the following conditions is satisfied: (1) if f(c) exists (c is in the domain of f), (2) lim f(x) exists, and (3) lim f(x) = f(c). this may help you.

  5. satellite73
    • 3 years ago
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    i don't know about the steps but f is continuous at a number c if \[\lim_{x\rightarrow c}f(x)=f(c)\] implicit in this definition is of course that the limit from the left and the limit from the right are the same, that the function exists there. but those "steps" are contained within the definition

  6. INT
    • 3 years ago
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    y is defined at x lim x from left (neg) = y lim x from right(pos) = y

  7. whitepanda10
    • 3 years ago
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    ok thanks!

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