Paradoxica
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Re: First Year Uni Calculus Marathon
Here's a fun exercise
Evaluate the following limit without using L'Hôpital's rule.
Also no series expansions of any sort.
![](https://latex.codecogs.com/png.latex?\bg_white \lim_{x \to 0} \frac{x-\sin{x}}{x^3})
You may assume the following preliminary result:
![](https://latex.codecogs.com/png.latex?\bg_white \lim_{x \to 0} \frac{\sin{x}}{x} = 1)
Here's a fun exercise
Evaluate the following limit without using L'Hôpital's rule.
Also no series expansions of any sort.
You may assume the following preliminary result:
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