# Calculus

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COnsider g(x)=(8)/(x-6) on (6,13)

(a) Is this function continuous on the given interval? If it is continuous, type "continuous". If not, give the x -value where the function is not continuous.
Is is continous? If not? what interval then?

• Calculus -

when x=6, you would be dividing by zero

so it is discontinuous at x=6

in general, a discontinuity will result when a division by zero results or an even root of a negative number is attempted, such as the square root, fourth root, sixth root etc.

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