Calculus I : How to solve Indeterminate Forms using L'Hopital's or L'Hospital's rule: Example (0/0)

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Calculus I : How to solve Indeterminate Forms using L'Hospital's rule: Example (0/0)
In mathematics, more specifically calculus, L'Hôpital's rule, or L'Hospital's rule (French: [lopital]) presented by Guillaume de L'Hospital (1661 AD - 1704 AD)provides a technique to evaluate limits of indeterminate forms. Application (or repeated application) of the rule often converts an indeterminate form to an expression that can be easily evaluated by substitution.
The rule is named after the 17th-century French mathematician Guillaume de l'Hôpital. Although the rule is often attributed to L'Hôpital, the theorem was first introduced to him in 1694 by the Swiss mathematician Johann Bernoulli. L'Hôpital's rule states that for functions f and g which are differentiable on an open interval I except possibly at a point c contained in I.
The derivatives of the numerator and denominator often simplifies the quotient or converts it to a limit that can be evaluated directly.
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Calculus I: How to solve Indeterminate Forms using L'Hospital's Rule: Example (∞/∞ form)
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