Vertical Tangents
We say that a continuous curve has a vertical tangent at the point where
For example,
has a vertical tangent at x = 0 (see accompanying figure):
However, has no vertical tangent at x = 0(see next figure):
does not exist, because the limit is ∞ from the right and –∞ from the left.
Does the graph of have a vertical tangent at the origin? Give reasons for your answer.
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