a) As n approaches infinity, the limit of (1-4/n)^n will approach e^-4, which is approximately 0.01832.
b) As n approaches infinity, the limit of (1+3/n)^n will approach e^3, which is approximately 20.0855.
c) As n approaches infinity, the limit of (1-1/2n)^n will approach e^-1/2, which is approximately 0.60653.
d) As n approaches infinity, the limit of (1-3/4n)^(n+2) will approach e^-3/4, which is approximately 0.47237.
a) As n approaches infinity, the limit of (1-4/n)^n will approach e^-4, which is approximately 0.01832.
b) As n approaches infinity, the limit of (1+3/n)^n will approach e^3, which is approximately 20.0855.
c) As n approaches infinity, the limit of (1-1/2n)^n will approach e^-1/2, which is approximately 0.60653.
d) As n approaches infinity, the limit of (1-3/4n)^(n+2) will approach e^-3/4, which is approximately 0.47237.