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Explain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = {cos⁡(x) if x < 0 0 if x = 0 1−x2 if x > 0 a = 0 limx→0+f(x) and limx→0−f(x) are finite, but are not equal. f(0) and limx→0 f(x) are finite, but are not equal. f(0) is undefined. limx→0 f(x) does not exist. none of the above Sketch the graph of the function.

Explain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = {cos⁡(x) if x < 0 0 if x = 0 1−x2 if x > 0 a = 0 limx→0+f(x) and limx→0−f(x) are finite, but are not equal. f(0) and limx→0 f(x) are finite, but are not equal. f(0) is undefined. limx→0 f(x) does not exist. none of the above Sketch the graph of the function.

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Explain why the function is discontinuous at the given number a . (Select all that apply.)
f ( x ) = { cos ⁡ ( x ) if x < 0 0 if x = 0 1 − x 2 if x > 0 a = 0
lim x → 0 + f ( x ) and lim x → 0 − f ( x ) are finite, but are not equal. f ( 0 ) and lim x → 0 f ( x ) are finite, but are not equal. f ( 0 ) is undefined. lim x → 0 f ( x ) does not exist. none of the above Sketch the graph of the function. (i)

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