IMathAS-libretexts

True or False?

In the definition of the limit of a sequence, $\displaystyle {N}$ depends on $\displaystyle \varepsilon$ .
A sequence may have more than one limit.
The only way to calculate the limit of a sequence is using the definition.
If $\displaystyle {\left|{x}\right|}$ is a lower bound for $\displaystyle {\left\lbrace\varepsilon\in\mathbb{R}:\varepsilon\gt{0}\right\rbrace}$ , then $\displaystyle {x}={0}$ .