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Function f (x) = StartFraction 25 x Over x 3 EndFraction has a discontinuity at x = –3. What are Limit of f (x) as x approaches negative 3 minus and Limit of f (x) as x approaches negative 3 plus? Limit of f (x) = infinity as x approaches negative 3 minus. Limit of f (x) = infinity as x approaches negative 3 plus. Limit of f (x) = negative infinity as x approaches negative 3 minus. Limit of f (x) = infinity as x approaches negative 3 plus. Limit of f (x) = infinity as x approaches negative 3 minus. Limit of f (x) = negative infinity as x approaches negative 3 plus. Limit of f (x) = negative infinity as x approaches negative 3 minus. Limit of f (x) = negative infinity as x approaches negative 3 plus.

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misspetty3

The function f(x) = (25x)/(x^3) has a discontinuity at x = -3. To determine the limits of f(x) as x approaches -3 from the left (x -> -3-) and from the right (x -> -3+), we can evaluate the function values for values of x that approach -3 from each side.

When x approaches -3 from the left (x -> -3-), the function values get larger and larger, approaching positive infinity. So, the limit of f(x) as x approaches -3 from the left is infinity.

When x approaches -3 from the right (x -> -3+), the function values also get larger and larger, approaching positive infinity. Therefore, the limit of f(x) as x approaches -3 from the right is also infinity.

To summarize:

- Limit of f(x) as x approaches -3 from the left (x -> -3-) is infinity.

- Limit of f(x) as x approaches -3 from the right (x -> -3+) is also infinity.

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