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What will be the condition for L-Hospital's Rule to work?
  1. The function must possess at least three non-zero derivatives
  2. The function must be determinate
  3. The function must be indeterminate
  4. The function must be inconsistent
Explanation
  • L'Hospital's Rule is only used when you get 0/0 or ∞/∞ form after direct substitution.

Conditions for L'Hospital's Rule:

  1. Indeterminate form → Must be 0/0 or ∞/∞ at the limit point. If you get 5/2 or 7, don’t use L'Hospital.
  2. Both numerator + denominator must be differentiable near the point
  3. Denominator’s derivative ≠ 0 near the point

So "indeterminate" is the key condition.


Last verified on 05-06-2026

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