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Question

Evaluate: limit ₍ₓ→2₎ (x² − 4) / (x − 2)

A 13 Correct Incorrect

B 4 Correct Incorrect

C 11 Correct Incorrect

D 10 Correct Incorrect

Detailed Solution

ATQ,

Substitute x = 2 → 0/0 (indeterminate). Factorize numerator: x² − 4 = (x − 2)(x + 2) So, (x² − 4)/(x − 2) = (x + 2) Now, limit₍ₓ→2₎ (x + 2) = 2 + 2 = 4

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