AP Calc Limit Notes

$$\lim_{x\to c}a$$

$$a$$

$$\lim_{x\to c}x$$

$$c$$

$$\lim_{x\to c}x^n$$

$$c^n$$

$$\lim_{x\to c}\left(a\cdot f(x\right))$$

$$a\cdot\lim_{x\to c}f(x)$$

$$\lim_{x\to c}\left(f(x\right)\pm g\left(x\right))$$

$$\lim_{x\to c}\left.f(x\right)\pm\lim_{x\to c}g\left(x\right)$$

$$\lim_{x\to c}\frac{f\left(x\right)}{g\left(x\right)}$$

$$\frac{\lim_{x\to c}f\left(x\right)}{\lim_{x\to c}g\left(x\right)}$$

$$\lim_{x\to c}f\left(x\right)^{n}$$

$$\left(\lim_{x\to c}f\left(x\right)\right)^{n}$$