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limit(csc(x),x=0)
Infinity 
limit(csc(x),x=0,dir='left')
-Infinity 
limit(csc(x),x=0,dir='right')
+Infinity 
plot(csc(x),-1,-.01) + plot(csc(x),0.01,1)

limit(csc(x),x=0, algorithm='sympy')
+Infinity 
limit(csc(x),x=0, dir='left', algorithm='sympy')
Error in lines 1-1 Traceback (most recent call last): File "/projects/4a5f0542-5873-4eed-a85c-a18c706e8bcd/.sagemathcloud/sage_server.py", line 873, in execute exec compile(block+'\n', '', 'single') in namespace, locals File "", line 1, in <module> File "/usr/local/sage/sage-6.4/local/lib/python2.7/site-packages/sage/calculus/calculus.py", line 1274, in limit raise NotImplementedError("sympy does not support one-sided limits") NotImplementedError: sympy does not support one-sided limits