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  • Question: 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 lim f(x) and lim f(x) are finite, but are not equal. x09 x+0+ f(0) is undefined. lim f(x) does not exist. X +0 f(0) and lim f(x) are finite, but are not equal. x →0 none of the above

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    The function f(x)={cos⁡xifx<00ifx=01−x2ifx>0 is given.

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Transcribed image text:
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 lim f(x) and lim f(x) are finite, but are not equal. x09 x+0+ f(0) is undefined. lim f(x) does not exist. X +0 f(0) and lim f(x) are finite, but are not equal. x →0 none of the above