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Determine if the function is continuous or not at a=2 utilizing the definition of continuity. If its not continuous explain why it fails the definition

Determine if the function is continuous or not at a=2 utilizing the definition of continuity. If its not continuous explain why it fails the definition of continuity by explaining which part of the definition breaks down.

f(x)= {e^x-2 if x greater than or equal to 2 and 4/pi tan ^-1 (root 8x/4) if x is less than 2.

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