Notice: Click here to get the most up-to-date list of all formulas for limits functions.

Math formulas: Useful limits


0 formulas included in custom cheat sheet

$\text{If } \lim_{x \to a} f(x) = l \text{ and } \lim_{x \to a} g(x) = m \text{ ,then}$

\lim_{x \to a} ~\left[ f(x) \pm g(x) \right] = l \pm m

\lim_{x \to a} ~\left[ f(x) \cdot g(x) \right] = l \cdot m

\lim_{x \to a} \frac{f(x)}{g(x)} = \frac{l}{m}

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

\lim_{x \to a} \frac{1}{f(x)} = \frac{1}{l}

\lim_{x \to \infty}~\left(1+\frac{1}{n}\right)^n = e

\lim_{x \to \infty}~(1 + n)^{1/n} = e

\lim_{x \to 0}~\frac{\sin x}{x} = 1

\lim_{x \to 0}~\frac{\tan x}{x} = 1

\lim_{x \to 0}~\frac{\cos x-1}{x} = 0

\lim_{x \to a}~\frac{x^n - a^n}{x-a} = n\,a^{n-1}

Algebra formulas

Black holes result from God dividing the universe by zero.

Author Unknown

Please tell me how can I make this better.