MATH 205 Lecture Notes - Lecture 18: Indeterminate Form, Inxs, Seax
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In computing this limit we cannot apply law 5 of limits hafg a. I mycx x lim gcx 7 o x a because the limit of the denominator equals zero. Indeterminate form of type lion inx x100 x 1. It isn"t obvious how to evaluate this limitbecause both numeratorand denominator becomes large as. L hospital rule suppose f and g are differentiable and gta 1 0 on an open interval except possibly at a. Ha in other words we have indeterminate form of type o_o or 0. X agt on the right side exists lim ficx xsa g"cx if the limit or is 00 or 00. Example find lim lin x x 11 x l. Example calculate 700 ex indeterminate form of typeof limit fin. 700 and lim x oo x100 indeterminateform of type 0 limddxle. Example find lim tan x x x 70. 3 i fseg fiio2seaxtanx x"io hey limo ftp. lsegx x h.
