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NDA2026MathematicsLimitsActual

What is _ x 0 10^ x -1 x equal to ?

Options

  1. A0
  2. B1
  3. C10
  4. D₁₀e

Correct answer

C. 10

Step-by-step solution

The given limit is _ x 0 10^ x -1 x Multiplying and dividing the expression by x : _ x 0 ( 10^ x -1 x x x ) _ x 0 ( 10^ x -1 x x ) Using the standard limit _ t 0 a^t-1 t = a , where t = x 0 as x 0 : 10 0 10 1 = 10 Answer: 10

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