formeln

(a - b)^{2} = a^{2} - 2 ab + b^{2} (1)

n \to \infty lim \frac{a}{b} = \frac{lim _{n \to \infty} a}{lim _{n \to \infty} b} (2)

a_{n} \leq b_{n} \leq c_{n} \land n \to \infty lim a_{n} = n \to \infty lim c_{n} ⟹ n \to \infty lim b_{n} = n \to \infty lim a_{n} (3)

(a + b) \cdot (a - b) = a^{2} - b^{2} (4)

(a + b)^{n} = k = 0 \sum n (k n) a^{n - k} b^{k} (5)

(k n) = \frac{n !}{k ! \cdot ( n - k )!} (6)

k = k_{0} \sum n f (k) = f (k_{0}) + k = k_{0} + 1 \sum n f (k) (7)

(1 - (1 - x)) = 1 - 1 + x = x (8)

n \to \infty lim a_{n} \pm b_{n} = a \pm b (9)

🪴 Quartz 4.0