Evaluate the following limit, L=

# Evaluate the following limit, L=

1. A
2. B
3. C
4. D

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### 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  to the numerator and denominator both,
So we get, L =
Further solving we get,
L = (from  the 2 multiplies in to the denominator and in  the 3 goes into the numerator)
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.

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