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NDA Mathematics Limits 2026 NDA 2026 (Phase 1)

NDA Mathematics Question (2026) — Solution

Question

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

Options

  1. A. 0
  2. B. 1
  3. C. 10
  4. D. _ 10 e

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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