Further Maths - Limits


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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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