please do 18, 20, 22

Note: Be sure to check whether L'Hopital's Rule applies before using it!!!! If you don't the graders will take off points!

Exercises 6.7 Terms and Concepts e-x-1 lim x-+ 07 X2 1. List the different indeterminate forms described in this sec- tion. 19. lim X - sin x x -+0+ x3 - x2 2. T/F: I'Hopital's Rule provides a faster method of computing derivatives. 20. lim x -too ex 3. T/F: I'Hopital's Rule states that d f ( x ) _f' ( x ) x 9(x) g' (x) 21. lim VX x-+ 00 4. Explain what the indeterminate form "10" means. 22. 1 - ex x-+ 00 X2 5. Fill in the blanks: The Quotient Rule is applied to f( x ) when taking g (x ) 23. lim I'Hopital's Rule is applied to J(x) when taking certain g (x ) 24. lim e * -+ 00 ) x 6. Create (but do not evaluate!) a limit that returns "co". 25. lim x -+ 0O 3x 7. Create a function f(x) such that lim f(x) returns "0" x3 - 5x2 + 3x + 9 26. lim x-+3 x3 - 7x2 + 15x - 9 8. Create a function f(x) such that lim f(x) returns "0 . co". x3 + 4x2 + 4x 27. lim x-2 x3 + 7x2 + 16x + 12 Problems In x 28. lim In Exercises 9 - 54, evaluate the given limit. 1-+ 0O X x + x - 2 In (x2) 9. lim 29. lim X-+00 X x -+1 x - 1