Evaluate the given limit
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Context Panel: Evaluate and Display Inline
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Apply L'Hôpital's rule
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The application of L'Hôpital's rule is valid because as , the fraction tends to the indeterminate form .
This limit is easily obtained by L'Hôpital's rule. However, to apply this rule, the derivative of must already be known. The derivation of this derivative is given in Table 2.7.5, which in turn invokes the special trig limits in Table 1.4.1. On a logical basis, these earlier calculations were essential, and could not have been deleted in favor of L'Hôpital's rule without tearing a hole in the logical structure of the calculus.