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JEE Main2017MathematicsLimitsActual

lim x → 3 ⁡ 3 x - 3 2 x - 4 - 2 is equal to

Options

A1 2
B1 2 2
C3 2
D3

Correct answer

A. 1 2

Step-by-step solution

Given, lim x → 3 ⁡ 3 x - 3 2 x - 4 -   2 On rationalization we get, lim x → 3 ⁡ 3 x - 9 × 2 x - 4 +   2 2 x - 4 - 2 × 3 x + 3 =   lim x → 3 ⁡ 3 x - 3 2 x - 3 × 2 x - 4 +   2 3 x + 3 = 3 2 × 2 2 6 = 1 2 .

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