why is there no limit for lim tan x as x approaches pi/2???????????????????????????????????????

Question

barrycarter · Answer

Hint: look at the right side and left side limits.

anonymous · Answer

they are asymptotes right?
what is the difference between a limit and an asymptote?

barrycarter · Answer

A vertical asymptote means the graph is approaching infinity. A limit usually means the graph is approaching a specific number. An asymptote can mean that the limit is infinity, but, in this case, the left and right limits are plus and minus infinity, which are different.

anonymous · Answer

so if theres more than one asymptote there's no limit?

barrycarter · Answer

Correct. If there are two asymptotes at the same point that go to different infinities, there is no limit.

anonymous · Answer

ohhh okay. thank you!