Further Maths - Limits

See Also

• [[Further Maths - L'Hôpital's Rule]]^S
• [[Further Maths - Taylor Series]]^S

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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Backlinks

• [[Further Maths - L'Hôpital's Rule]]^S
• [[Further Maths - Taylor Series]]^S
• [[Further Maths - Syllabus]]^S

Metadata

date: 2021-12-05 15:42
tags:
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title: Further Maths - Limits