According to Maple 12, is correct. Also, just looking at the graph of the function, it appears that is continuous at . I think your mistake occurred when you plugged in 0.0000000001.
It's a rather strange function since putting 0.01 into the function seems to suggest it tends to 0, but putting something much smaller in seems to suggest it tends to 1!
Well I guess there's no substitute for analytical methods!