Left-hand and right-hand limits
Limits and continuity · Mathematics
Study notes
Q: f(x) = |x|/x. Find LHL and RHL at 0. Does the limit exist? x>0: |x|/x = 1. RHL = 1. x<0: |x|/x = −1. LHL = −1. LHL ≠ RHL: limit does not exist (jump discontinuity).
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Limits and continuity · Mathematics
Q: f(x) = |x|/x. Find LHL and RHL at 0. Does the limit exist? x>0: |x|/x = 1. RHL = 1. x<0: |x|/x = −1. LHL = −1. LHL ≠ RHL: limit does not exist (jump discontinuity).