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MHT CET202020 Oct 2020Evening ShiftMathematicsBinomial TheoremActual

The co-efficient of x⁶ in the series of e^ 2 x is

Options

  1. A2 45
  2. B7 45
  3. C4 45
  4. D1 45

Correct answer

C. 4 45

Step-by-step solution

e^ 2 x =1+2 x+ (2 x)² 2 ! + (2 x)³ 3 ! + (2 x)⁴ 4 ! + (2 x)⁶ 6 ! +x⁶ coefficient = ( 2⁶ x⁶ 6 ! = 4 45 .

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