# Further Maths - Limits

## See Also

## 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.