Further Maths - Limits
Pearson Edexcel Further Mathematics 2022
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Flashcards
Evaluating limits
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.