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KCET2021MathematicsLimits

If f(x)= | array ccc x & 1 & 0 0 & 2 x & 3 0 & 1 & 2 x array | , then _ x f(x) is equal to

Options

  1. A-1
  2. B1
  3. C0
  4. D3

Correct answer

A. -1

Step-by-step solution

If f(x)= | array ccc x & 1 & 0 0 & 2 x & 3 0 & 1 & 2 x array | Expand along C₁ , aligned &= x (4 ² x-3 ) &=4 ³ x-3 x &= 3 x _ x 3 x= 3 =-1 aligned

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