(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Evaluate the limit below indicating the appropriate Limit Law(s) implemented.

[tex]\lim_{x\rightarrow 0.5}\frac{2x^2+5x-3}{6x^2-7x+2}[/itex]

2. The attempt at a solution

[tex]\lim_{x\rightarrow 0.5}\frac{2x^2+5x-3}{6x^2-7x+2}=\lim_{x\rightarrow 0.5}\frac{2(x-0.5)(x+3)}{6(x-0.5)(x-(2/3))}=\lim_{x\rightarrow 0.5}\frac{2(x+3)}{6(x-(2/3))}=-7[/itex]

So would I be required to state anything when I can out the (x-0.5) factor?

(PS, I'm doing Real Analysis and have learnt about proving limits from first principles but I'm now trying to learn about using shortcuts by referencing theorems.)

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# Which Limit Law should I refer to in my solution?

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