Let l_{n}={2^{n}+(-2)^{n}}/{2^{n}} and L_{n}={2^{n}+(-2)^{n}}/{3^{n}} then as n \\to\infty

Correct Answer is : limn→∞ln does not exist but limn→∞Ln exists

\lim_{n \\to\infty} l_{n} exists but \lim_{n \\to\infty} L_{n} does not exist

\lim_{n \\to\infty} l_{n} does not exist but \lim_{n \\to\infty} L_{n} exists