Find the x-values at which f is not continuous.
f(x) = tan(πx/2)

Step-by-step explanation:

Remember that for the tangent parent function, it has infinite discontinuities (vertical asymptotes) on:

Here, we have:

So, we can set the expression inside the tangent to equal our parent domain restriction. This yields:

Solve for x. Multiply both sides by 2:

Divide both sides by π:

Therefore, for the function , it is not continuous for all Xs where

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