The next two problems involve the following definitions. Definition. 1. We write lim, f(x) = ∞o if for every N there is
Posted: Mon Jul 11, 2022 11:00 am
The next two problems involve the following definitions. Definition. 1. We write lim, f(x) = ∞o if for every N there is a 6> 0 such that: if 0</z-a <6, then f(x) > N. -a 2. We write lim, at f(x) = Lif for every e there is a d> 0 such that: if a < x < a+6, then f(x) - L<e. 3. We write lima- f(x) = L if for every e there is a d> 0 such that: if a-6 <z<a, then f(x) - L<e. Exercise #7: Prove: lim+3 (-3) Proof. = ∞. 1 ☐