The graph of the function f is shown.

piecewise graph of f of x equals 1 over the quantity x plus 2 where x is greater than negative 2 and less than negative 1, negative 1 over the quantity x plus 2 where x is greater than or equal to negative 5 and less than negative 2, point negative 1 comma negative 2, 5 times x where x is greater than negative 1

Which of the following statements is false? (10 points)

the limit as x approaches negative 2 of f of x does not exist.

the limit as x approaches negative 1 of f of x exists.

the limit as x approaches negative 5 of f of x does not exist.

the limit as x approaches negative 5 from the left of f of x exists.