Limit algebra (with infinity)

∞ ± L = ∞ for all real L, ∞ + ∞ = ∞
∞⋅L = ∞ and ∞/L = ∞ for all positive L
∞⋅L = −∞ and ∞/L = −∞ for all negative L
∞⋅∞ = ∞
1/0⁺ = ∞ and 1/0^- = −∞, L/∞ = 0 for all real L
∞^L = ∞ for all positive L, ∞^L = 0 for all negative L
L^∞ = ∞ if L > 1, L^∞ = 0 if |L| < 1, and L^∞ DNE if L < −1
L^−∞ = 0 if |L| > 1, L^−∞ = ∞ if 0 < L < 1, and L^−∞ DNE if −1 < L < 0
∞^∞ = ∞
e^∞ = ∞, e^−∞ = 0, ln(∞) = ∞, ln(0⁺) = −∞
For more details on limit algebra, see here.