`2lt=(1+1/n)^n<3, ngeq1, n in N`

Assertion: [(1+ 1/10000)^10000]=2 where [.] is the greatest integer function. Reason: 2lt(1+1/n)^n lt2.5 for all n epsilonN (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Assertion: [(1+ 1/10000)^10000]=2 where [.] is the greatest integer function. Reason: 2lt(1+1/n)^n lt2.5 for all n epsilonN (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Lt_(n to oo)(1 + 2/n)^(2n) =

Lt_(n rarr oo)(1+(1)/(n))^(n)

Lt_(n rarr oo)(1+(1)/(n))^(n)

Prove that 2 le (1+ (1)/(n))^(n) lt 3 for all n in N .

Prove that 2 le (1+ (1)/(n))^(n) lt 3 for all n in N .

Prove that 2 le (1+ (1)/(n))^(n) lt 3 for all n in N .