Definition:Limit of Real Function/Left/Notation

Notation for Limit from the Left

Notations that may be encountered for the limit from the left:

$\ds \lim_{x \mathop \to b^-} \map f x$

$\map f {b^-}$ or $\map f {b -}$

$\map f {b - 0}$

$\ds \lim_{x \mathop \uparrow b} \map f x$

$\ds \lim_{x \mathop \nearrow b} \map f x$

Sources

• 1977: K.G. Binmore: Mathematical Analysis: A Straightforward Approach ... (previous) ... (next): $\S 8.1$
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): below
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): limit from the left and right