Evaluate the limit: lim(x→0) (sin x)/x.

Step 1: Identify the limit.

We need to evaluate:
lim(x→0) (sin x)/x

Direct substitution gives:
sin(0)/0 = 0/0

This is an indeterminate form.

Step 2: Recognize the fundamental trigonometric limit.

One of the fundamental limits in calculus is:
lim(x→0) (sin x)/x = 1

This result applies when x is measured in radians.

Step 3: Apply the fundamental limit.

Because the given expression exactly matches this standard form, the limit is 1.

Therefore:
lim(x→0) (sin x)/x = 1.