# calculus

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find the x-values at which f is not continuous. which of the discontinuities are removable?
f(x)=1/(x^2+1)

• calculus -

the function is not continuous when the denominator is zero, or...

0 = x^2+1

solving for x then

x = i

It is a removable discontinuity since it can be repaired by replacing a single point.

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