Sums, Integrals, and Limits

Summations and integrals both have lower and upper limits, and the commands are similar. Limits usually have text with an arrow placed below them.

$$
\sum_{k=0}^\infty\frac{(-1)^k}{k+1} = \int_0^1\frac{dx}{1+x}
$$

produces

$$\sum_{k=0}^\infty\frac{(-1)^k}{k+1} = \int_0^1\frac{dx}{1+x}$$

$$
\lim_{x\rightarrow 0} \frac{\sin x}{x} = 1
$$

produces

$$\lim_{x\rightarrow 0} \frac{\sin x}{x} = 1$$

Practice: Construct your own document using sums, integrals, and limits.