Answer the following True or False: If lim f(x) = – 3 then f(x) is continuous at x = – 2.
2 - 2

False; consider as a counterexample the function f : ℝ→ℝ defined by

Clearly f approaches -3 as x gets closer to -2, but neither limit from either side is equal to the function's value at x = 2 (that is, -3 ≠ 0), so f is not continuous.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

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