Which is equal to 1?

How many of the following is equal to 1?

( $\lim_{x \to +\infty}$ $\frac {1}{x}$ ) +1

( $\lim_{x \to +\infty}$ $\frac {1}{-x}$ ) +1

( $\displaystyle \sum_{i=-\infty}^\infty$ i) +1

( $\prod_{i=-\infty}^{+\infty}$ i) +1

-( $e^{πi}$ )

$\lim_{x \to 1}$ $\displaystyle \sum_{i=0}^x$ i

$\lim_{x \to 1}$ $\prod_{i=0}^{x}$ i!

Things to notice (or assume) when solving the problem:

$\infty$ is the opposite of - $\infty$ , so -(- $\infty$ )=+ $\infty$

0!=1

i! is i factorial