Posts about Limits
- If uₙ tends to a y vₙ tends to b, then uₙvₙ tends to ab
- If the limit of the sequence u(n) is a and c ∈ ℝ, then the limit of u(n)c is ac
- If u(n) tends to a, then 7u(n) tends to 7a
- If f is continuous at a and the limit of u(n) is a, then the limit of f(u(n)) is f(a)
- If x is the limit of u and y is an upper bound of u, then x ≤ y