Solution:
We have given, L =Now, First multiply and divide the numerator and denominator by, x-2
So we get, L =
Separate the limit to the both numerator and the denominator, we get
L=
Now apply the formula
So we get, L =
Further solving we get,
L =
By applying laws of the indices we get,
L=
L =
Therefore our final value of the given limit is L =
So, option 1 is correct.