HTML content detailing the step-by-step process to evaluate the improper integral of the function f(x) = 1 / (x – 2) from x = 0 to x = 3, denoted as ∫₀³ (1 / (x – 2)) dx. The explanation includes breaking the integral into two parts at the point of discontinuity, x = 2, and applying limits to approach this point from both sides. The conclusion states that the integral is divergent.

HTML content detailing the step-by-step process to evaluate the improper integral of the function f(x) = 1 / (x - 2) from x = 0 to x = 3. The explanation includes breaking the integral into two parts at x = 2 using the integral symbols ∫₀² and ∫₂³. Limits are applied to approach the point of discontinuity at x = 2 from both sides. The conclusion states that the integral is divergent.