4. Calculate the indicated limit. lim sin(6). If a limit does not exist then answer +∞, -∞, or DNE (whichever is correct). Make sure to check that L'Hopital's rule applies before using it. Also, whenever you apply L'Hopitals rule, indicate that you are using it. 10 sin(3r) 5. Which of the following are indeterminate forms? 6. Use Newton's Method to determine 1 and 2 for the function f(x)=xcos(x) - ² and the value of a = 1. 7. Use Newton's Method to determine ₁ and 2 for the function f(x)=x²-7x² +82-3 and the value of x = 5. 8. Find the antiderivative of the following functions: a) f(x)=3 b) f(x) = 2x c) f(x) = 5x¹ 9. Find the antiderivative of the following functions: a) f(x) = sinx b) f(x)=sec²r c) f(x)=√ 10. Find the antiderivative of the following functions: a) f(x) = 12-x b) f(x)=8x³-9x² +4 c) f(x) =