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List of limits : ウィキペディア英語版
List of limits

This is a list of limits for common functions. Note that ''a'' and ''b'' are constants with respect to ''x''. Algebra of limits
==Limits for general functions==

:\text\lim_ f(x) = L_1 \text\lim_ g(x) = L_2 \text
::\lim_ \, (\pm g(x) ) = L_1 \pm L_2
::\lim_ \, () = L_1 \times L_2
::\lim_ \frac = \frac \qquad \text L_2 \ne 0
::\lim_ \, f(x)^n = L_1^n \qquad \textn \text
::\lim_ \, f(x)^ = L_1^ \qquad \textn \text n \text L_1 > 0
:\lim_ \frac = \lim_ \frac \qquad \text \lim_ f(x) = \lim_ g(x) = 0 \text \pm\infty (L'Hôpital's rule)

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