Question

Evaluate the limit numerically or state that the limit does not exist. lim x → 0 (4x − 1)/ x

Answer 1

As x ---> 0 - f(x) ---> ∞

As x ----> 0+ f(x) ---> -∞

Explanation:

There is an asymptote in the graph of this function at x = 0.

As x approaches 0 from negative values of x the function approaches positive infinity.

AS x approaches 0 from positive values of x the function approaches

negative infinity .