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JEE Main20207 Jan 2020Morning ShiftMathematicsLimitsActual

l i m x → 2 3 x + 3 3 - x - 12 3 - x 2 - 3 1 - x is equal to

Correct answer

0

Step-by-step solution

Let, 3 x 2 = t ,   x → 2 ⇒ t → 3 lim t → 3 t 2 + 27 t 2 - 12 1 t - 3 t 2 = lim t → 3 t 4 + 27 - 12 t 2 t - 3 lim t → 3 t 2 - 3 t + 3 t - 3 t - 3 = 6 × 6 = 36

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