HumildeEstudante
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Anyone can helpe me with that question ?
Limit Question
- Thread starter HumildeEstudante
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Anyone can helpe me with that question ?
Dr.Peterson
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This one is quite straightforward, so you should be able to show some work!
Can you find the limit of g(x)? Just expand the numerator, or use the difference of cubes, for example.
HallsofIvy
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I would hope that where ever you got this problem, asking about a limit, had some basic facts about limits!
In particular you have learned the "laws of limits":
1) \(\displaystyle \lim_{x\to a} (f+ g)(x)= \lim_{x\to a} f(x)+ \lim_{x\to a} g(x)\).
2) \(\displaystyle \lim_{x\to a} (f- g)(x)= \lim_{x\to a} f(x)- \lim_{x\to a} g(x)\).
3) \(\displaystyle \lim_{x\to a} (fg)(x)= \left(\lim_{x\to a} f(x)\right)\left(\lim_{x\to a} g(x)\right)\).
4) \(\displaystyle \lim_{x\to a} \frac{f}{g}(x)= \frac{\lim_{x\to a} f(x)}{\lim_{x\to a} g(x)}\).
In particular you have learned the "laws of limits":
1) \(\displaystyle \lim_{x\to a} (f+ g)(x)= \lim_{x\to a} f(x)+ \lim_{x\to a} g(x)\).
2) \(\displaystyle \lim_{x\to a} (f- g)(x)= \lim_{x\to a} f(x)- \lim_{x\to a} g(x)\).
3) \(\displaystyle \lim_{x\to a} (fg)(x)= \left(\lim_{x\to a} f(x)\right)\left(\lim_{x\to a} g(x)\right)\).
4) \(\displaystyle \lim_{x\to a} \frac{f}{g}(x)= \frac{\lim_{x\to a} f(x)}{\lim_{x\to a} g(x)}\).