What will be the condition for L-Hospital's Rule to work?
- The function must possess at least three non-zero derivatives
- The function must be determinate
- The function must be indeterminate
- 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:
- Indeterminate form → Must be 0/0 or ∞/∞ at the limit point. If you get 5/2 or 7, don’t use L'Hospital.
- Both numerator + denominator must be differentiable near the point
- Denominator’s derivative ≠ 0 near the point
So "indeterminate" is the key condition.
Last verified on 05-06-2026
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