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Example 3

Find

05_limits_g_approx-107.gif

This limit is not in a form where we can apply l'Hospital's Rule. We must first use algebra to put it in another form,

05_limits_g_approx-108.gif

By elementary computations, limx→3 x(√(x + 1) - 2) = 3 · 0 = 0. Using l'Hospital's Rule,

05_limits_g_approx-109.gif

We then add the limits to get the desired answer,

05_limits_g_approx-110.gif


Last Update: 2006-11-15