Assignment:
Differentiate the function f(x) = ln(2x + 3).
Find limx→∞ e2 x/(x+5)3
Apply l'Hopital's rule as many times as necessary, verifying your results after each application.
Evaluate ∫ x sinh(x)dx .
Determine whether
2
∫ (x / ^(4-x^2)) (dx)
0
Converges or diverges. If it converges, evaluate the integral.
Provide complete and step by step solution for the question and show calculations and use formulas.