Does tan(x) have points of discontinuity?

1 Answer
Jim H
Apr 9, 2015

Yes. It has a dicontinuity at every #x# for which #tanx# is not defined.

These are the #x# for which #cos x =0#

That is: #tan x# is discontinuous at every odd multiple of #pi /2#

These point, of course, are not in the domain of #tan x#.

The discontinuities are non-removable, infinite discontiuities.

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