# Further Maths - Limits

> Source: https://ollybritton.com/notes/a-level/further-maths/topics/limits/ · Updated: 2021-12-05 · Tags: school, further-maths, year-2, further-pure-1

## See Also
- [Further Maths - L'Hôpital's Rule](https://ollybritton.com/notes/a-level/further-maths/topics/lhopitals-rule/)
- [Further Maths - Taylor Series](https://ollybritton.com/notes/a-level/further-maths/topics/taylor-series/)

## Flashcards
### 2021-12-05
##### How would you rewrite $$\lim_{x \to \infty} \frac{2-3x}{1+x}$$ in order to evaluate it without L'Hôpital's rule??
$$
\frac{\lim_{x \to \infty} 2 - 3x}{\lim_{x \to \infty} 1 + x}
$$

##### How could you evaluate $$\lim_{x \to \pi/2} (x-\frac{\pi}{2})\tan x$$ using a Taylor series??
Approximate $\cot x$ around $\pi/2$

##### What must you make sure to do when evaluating a limit with a Taylor series??
Use the right point to approximate around in the Taylor series.

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