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I have collections of some questions in which I need help. Please provides me step by step detailed explanation so that it will be easy for me to learn.

and please provide graphs or diagrams for reference purposes.

and please please not provide handwritten work, provide me typed(typing) work.

Please only provide me the solution if you give a detailed step-by-step solution in neat typing work because I have many solutions given by tutors which are totally unhelpful for me as some of them given solutions in two-three steps and some of them didn't include graphs. So if you provide full detailed solutions with detailed simplifications and neat typing work along with graph then only provide me otherwise leave it for other experts. Don't want to mark you unhelpful.

x- +4x - 21 1. Calculate the indicated limit. lim If a limit does not exist then answer +oo, -OO, or DNE (whichever is correct). Make E-3 x2 - 7x + 12 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. tan3x 2. Calculate the indicated limit. lim If a limit does not exist then answer +oo, -DO, or DNE (whichever is correct). Make sure 2-0 (1+x) to check that L'Hopital's rule applies before using it. Also, whenever you apply L'Hopitals rule, indicate that you are using it. sinx - 3. Calculate the indicated limit. lim If a limit does not exist then answer +oo, -oo, 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. sin (6x) 4. Calculate the indicated limit. lim - If a limit does not exist then answer +0O, -0O, or DNE (whichever is correct). Make sure to 2+0 sin (3x) check that L'Hopital's rule applies before using it. Also, whenever you apply L'Hopitals rule, indicate that you are using it. 5. Which of the following are indeterminate forms? ". 6. Use Newton's Method to determine 1 and 2 for the function f(@) = cos(@) - a and the value of ro = 1. 7. Use Newton's Method to determine 21 and 2:2 for the function f(x) = a3 - 7x2 + 8. - 3 and the value of ro = 5.8. Find the antiderivative of the following functions: a) f(x) = 3 b) f (x) = 2x of(x) = 5x 9. Find the antiderivative of the following functions: a) f(x) = sinx b) f (x) = sec'x of(x) = Vx 10. Find the antiderivative of the following functions: a) f(x) =12 -x b) f(x) = 8.x3 - 9x2 +4