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Home Limits, Analytic Geometry, and Approximations L'Hospitals Rule Examples Example 4
 
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Example 4

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05_limits_g_approx-111.gif

This limit is of the form 0/0. When l'Hospital's Rule is used the limit is still of the form 0/0. But when it is used a second time we can compute the limit.

05_limits_g_approx-112.gif

L'Hospital's Rule also holds true for other types of limits. That is, it holds true if x → c is everywhere replaced by one of the following.

x → c+, x → c-, x → ∞, x → -∞.
Home Limits, Analytic Geometry, and Approximations L'Hospitals Rule Examples Example 4

Last Update: 2006-11-15