What will be the condition for L-Hospital's Rule to work?
What will be the condition for L-Hospital's Rule to work?
Explanation
L'Hospital's Rule is a technique used to evaluate limits of indeterminate forms, such as 0/0 or ∞/∞. The rule states that if the limit of the ratio of the derivatives of the numerator and denominator exists, then the original limit exists and is equal to that ratio.
The conditions for L'Hospital's Rule to work are:
- The function must be indeterminate, meaning it has the form 0/0 or ∞/∞.
- The derivative of the numerator and denominator must exist.
- The derivative of the denominator must be non-zero at the point being evaluated.