Graph of a function f(x) with a jump discontinuity at x = 1, illustrating the left-hand limit and function value at x = 3.
Graph of a piecewise function f(x) with a jump discontinuity at x = 1, showing a limit approaching 3 from the left and a value of 1 at x = 3, with the equation z = lim f(x) as x approaches 1 from the left.
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