Evaluate: limx→21+2+x-3x-2
183
13
83
3
Explanation for the correct option:
Find the value of given equation:
Given,limx→21+2+x-3x-2
Consider the given Equation as
I=limx→21+2+x-3x-2I=1+2+2-32-2I=1+2-30I=3-30I=00form
Using the L' Hospital rule
limx→afxgx=limx→af'xg'x
I=limx→2121+2+x-12×122+x-121ApplychainruleI=121+2+2-12×122+2-12I=14×1+4-12×4-12I=14×3-12×1412I=14×13×12I=183
Hence, option (A) is the correct answer.