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For a real number y, let [y] denotes the greatest integer les

Question

For a real number y, let [y] denotes the greatest integer less than or equal to y. Then the function
$f (x) = \frac{t an ( π [ x - π ] )}{1 + [ x ] ^{2}}$ is

discontinuous at some x

continuous at all x, but the derivative

f^{'} (x_{0})

does not exist for some x

f^{'} (x)

exist for all x but the derivative

f^{'} (x_{0})

does not exist second for some x

f^{'} (x)

exists for all x

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William Discussed

For a real number y, let [y] denotes the greatest integer less than or equal to y. Then the function

f (x) = \frac{t an ( π [ x - π ] )}{1 + [ x ] ^{2}}

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Question Text

For a real number y, let [y] denotes the greatest integer less than or equal to y. Then the function

f (x) = \frac{t an ( π [ x - π ] )}{1 + [ x ] ^{2}}

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