Final answer:
The limit of the function f(x) as x approaches 0 from the left is 1, as the function is defined as cos(x) for x < 0, and the cosine function is continuous at x = 0.
Step-by-step explanation:
The question revolves around finding the limit as x approaches 0 from the left (denoted as limx→0-) for a piecewise function f(x), which has differing definitions on either side of x = 0. For x < 0, f(x) is given as cos(x). To find the limit as x approaches 0 from the left, we consider only the function definition that applies, which is cos(x). Since the cosine function is continuous everywhere, the limit as x approaches 0 of cos(x) is simply cos(0), which equals 1.