Ok. I know that the lim (n to inf) of the sequence [1+(1/n)]^n=e.
How would I find the lim (n to inf) of [1+(2/n)]^n using the above limit? I know the answer is e^2, but how would I show it?
Ok. I know that the lim (n to inf) of the sequence [1+(1/n)]^n=e.
How would I find the lim (n to inf) of [1+(2/n)]^n using the above limit? I know the answer is e^2, but how would I show it?
Ok. I know that the lim (n to inf) of the sequence [1+(1/n)]^n=e.
How would I find the lim (n to inf) of [1+(2/n)]^n using the above limit? I know the answer is e^2, but how would I show it?
If you want full rigour you will have to fill in the detail yourself but: