Overview
I'm working on a calculus exercise and need the explanation and answer to help me learn.
Question 1: Calculate the limit of the function f(x) = (x^2 - 4) / (x - 2) as x approaches 2.
Question 2: Determine the derivative of the function g(x) = 3x^4 - 5x^2 + 2.
Question 3: Find the indefinite integral of the function h(x) = x^3 - 2x + 1.
Question 4: Solve the ordinary differential equation (ODE) dy/dx = 3y.
Question 5: Evaluate the definite integral from 0 to pi of the function f(x) = cos(x).