You can put this solution on YOUR website! Ah! Finally one can be done without calculator...(Just found mine missing)
cot(π)=cos(π)/sin(π)=-1/0=undefined
(according to definition of cos and sin using unit circle)
But we can see the limit as x approaches π of cot(x) is -1/0, which is equivalent to approaching positive infinity.
In fact we don't literally need a calculator... it would just return a silly "Math Error". Hah!