Functions, Graphs, and Limits Exercises

Let y = f(x) = sin(x). What is the limit of f(x) as x approaches 0?

Let y = f(x) = sin(x). What is the limit of f(x) as x approaches 2π?

Let y = f(x) = sin(x). What is the limit of f(x) as x approaches π / 2?

Let y = f(x) = sin(x). What is the limit of f(x) as x approaches -π?

Let f(x) = x² -4x + 3. Graph f(x) and use the graph to find the limit of f(x) as x approaches 0.

Let f(x) = x² -4x + 3. Graph f(x) and use the graph to find the limit of f(x) as x approaches 3.

Let f(x) = x² -4x + 3. Graph f(x) and use the graph to find the limit of f(x) as x approaches 1.

Although we say "the limit of f(x) as x approaches 2 is 5," we write

lim_{x → 2} f(x) = 5.

Let f(x) = 2 – 2x. Find the limit, lim_{x → 2} f(x).

Let f(x) = 2 – 2x. Find the limit, lim_{x → 0} f(x).

Let f(x) = 2 - 2x. Find the limit, lim_{x → 1} f(x).