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## Homework Statement

Evaluate the following limit

[tex] \lim_{t→2π\mathbb{N}}\frac{sin(t)}{1-cos(t)} [/tex] for all natural numbers [itex]\mathbb{N}[/itex].

## Homework Equations

## The Attempt at a Solution

Plugging in [itex] 2π\mathbb{N} [/itex] gives us 0 for both the numerator and denominator. Thus, we differentiate top and bottom to get [tex] \lim_{t→2π\mathbb{N}}\frac{cos(t)}{sin(t)} [/tex] which evaluates to [itex]\frac{1}{0}[/itex] which does not exist.

Am I correct?

BiP