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Most Important Selected Qs for JEE AdvancedMathematicsLimits

_ x 3 (e^ x-3 -1 ) (x-2) =c , which of the following is/are CORRECT ?

Options

  1. A⁻¹ c=- 2
  2. Bc=0
  3. Cc is a positive integer
  4. Dc is neither prime nor composite

Correct answer

D. c is neither prime nor composite

Step-by-step solution

aligned & _ x 3 (e^ x-3 -1 ) (x-2) & put x=3+h aligned aligned & _ h 0 (e^h-1 ) (1+h) = _ h 0 (e^h-1 ) (e^h-1 ) (e^h-1 ) h h (1+h) & =1 1 1=1 aligned

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