If f(x) = (x^2 - 4)/(x - 2), what is the limit of f(x) as x approaches 2?

Given the graph of f(x), determine the limit of f(x) as x approaches -1 if the graph shows a jump discontinuity at x = -1 with y-values approaching 3 from the left and 5 from the right.

Express the limit of f(x) = 1/x as x approaches 0 from the left using limit notation.

What is the limit of the function f(x) = 5x^2 + 2x - 1 as x approaches 0?

Find the limit of the function f(x) = (x^3 - 8) / (x^2 - 4) as x approaches 2.

Evaluate the limit of the function f(x) = (sqrt(x) - 3) / (x - 9) as x approaches 9.

How can you determine if a function is continuous at a given point c?

Consider the piecewise function f(x) = {x^2 for x < 1, 2x + 1 for x ≥ 1}. Is the function continuous at x = 1?

For the function f(x) = (x^2 - 4)/(x - 2), identify the type of discontinuity at x = 2.