# MAT - Paper 2018 - Q3

> Source: https://ollybritton.com/notes/maths/problems/mat/2018/q3/ · Updated: 2021-10-28 · Tags: mat, notes, maths

## Flashcards
### 2021-10-28
##### What is L'Hôpital's rule for $$\lim_{x \to c}\frac{f(x)}{g(x)}$$??
$$
\lim_{x \to c} \frac{f'(x)}{g'(x)}
$$

##### How could you evaluate $$\frac{\sin x}{x}$$ at $x = 0$??
Using L'Hôpital's, differentiating the top and bottom:

$$
\frac{\cos x}{1}
$$

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