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Function f(x) has a jump discontinuity at x = 8. Which statement identifies possible one-sided limits at x = 8?

lim flx) DNE and lim f(x) DNE

lim f(x) DNE and lim Flx) = 120

lim flx) = 85 and lim f(x) = 85

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lim Flx) = 85 and lim flx) = 120

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Function f x has a jump discontinuity at x 8 Which statement identifies possible one sided limits at x 8 lim flx DNE and lim

Answer :

The limit of the given functions f(x)=85 and lim f(x)=120.

If any of the following conditions are met, a function is said to be discontinuous:

  • The function at x = a has left- and right-hand bounds, but they are not equal.
  • The function at x = a has a left-hand limit and a right-hand limit that exist, are equal, but are not equal to f(a).

We have given that,

Function f(x) has a jump discontinuity at x = 8.

We have to determine a statement that identifies possible one-sided limits at x = 8.

Then, lim f(x)=85 and lim f(x)=120

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Answer:

D

Step-by-step explanation:

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