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A limit does not exist at a value due to unboundedness if
when you plug in the limit value, you get zero over zero
A limit does not exist at a value due to oscillation if
if the function constantly cycles between values
A limit does not exist at a value due to the inequality of one sided limits if
the left-hand limit and right-hand limit approach different values.
(sin(x))’
cos(x)
(cos(x))’
-sin(x)
(tan(x))’
(cot(x))’
(sec(x))’
(csc(x))’