- #1

Cauchy1789

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- 0

## Homework Statement

Given a parameterized curve [tex]\alpha:(a,b)\rightarrow \mathbb{R}^2[/tex], show that this curve is regular except at t = a.

## Homework Equations

I know that according to the defintion that a parameterized curve [tex]\alpha: I \rightarrow \mathbb{R}^3[/tex] is said to be regular if [tex]\alpha'(t) \neq 0[/tex] [tex]\forall t \in I.[/tex]

## The Attempt at a Solution

I have read that any curve which has a point where the tangent vector is zero cannot be a regular curve, so how is it even possible to just forget about that singular point in such a proof?

Best regards

Cauchy