MAT 21A Lecture 4: MAT21A - Lecture 4 - 2.4: One-Sided Limits
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MAT 21A Full Course Notes
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Mat21a - lecture 4 - 2. 4: one-sided limits f (x) does not exist (dne) lim x 4. But, limit of f(x) as x approaches 4 from the right-hand side (rhs) is 3. Also, limit of f(x) as x approaches 4 from the left-hand side (lhs) is -2. = 3 (x) f lim x 4+ f lim x 4 (x) Find lim x 1+ g (x) , lim x 1 g (x) lim x 1+ g (x) Lim x 5 : limit from lhs, limit from both sides f (x) General principle: f (x) lim x c. = l ( lim x c+ f (x) and lim x c f (x) Same equation, now using 2 instead of 3: If we plug in x=2, we get an undefined answer ( 2+ indicates that we only care about values bigger than 2 x > 2 . 4x 8 indicates that we only care about values smaller than 2 x < 2 .
