$a\in\Bbb R,g\in\Bbb R$
a) $\lim_{x\to \infty} f(x)= g$
b) $\lim_{x\to \infty} f(x)= \infty$
c) $\lim_{x\to a} f(x)= -\infty$
a) ∀ε>0 ∃M>0 ∀x∈R ( x>M => |f(x) - g| < ε
b) ∀ε>0 ∃M>0 ∀x∈R ( x > M => f(x) > ε
c) ∀ε>0 ∃M>0 ∀x∈R ( x > M => f(x) > -ε
Are those definitions correct?