1. [-/3 Points] DETAILS LARCALC12 3.5.015. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find each limit, if it exists. (If an answer does not exist, enter DNE.) (a) lim 7 - 4x3/2 x -+ 9x2 - 5 7 - 4x3/2 b) lim x -+x 9x3/2 - 5 (c) lim 7 - 4x3/2 x -+ce 9x - 5 Need Help? Read It Submit Answer 2. [-/1 Points] DETAILS LARCALC12 3.5.017.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim (1 +2 ) Need Help? Read It Master It Submit Answer 3. [-/1 Points] DETAILS LARCALC12 3.5.019.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim 2x + 9 x -+ * 5x - 2 Need Help? Read It Master It Submit Answer 4. [-/1 Points] DETAILS LARCALC12 3.5.021. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim 8x+ x x-+ 8x- + 7x + x Need Help? Read It Submit Answer 5. [-/1 Points] DETAILS LARCALC12 3.5.023. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim 3x2 x --x x+ 2 Need Help? Read It Submit Answer6. [-/1 Points] DETAILS LARCALC12 3.5.025. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the limit, if it exists. (If an answer does not exist, enter DNE.} Need Help? Submit Answer 7. [-/1 Points] DETAILS LARCALC12 3.5.027. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the limit, if it exists, {If an answer does not exist, enter DNE.} dx + 3 lim x=n V x2 x Need Help? 8. [-/1 Points] DETAILS LARCALC12 3.5.029. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the limit, if it exists, {If an answer does not exist, enter DNE.} i Ve-% x= "4y _5 Need Help? [l [Ewsienu] [ Submit Answer ] 9. [-/1 Points] DETAILS LARCALC12 3.5.031. [ MY NOTES ] [ ASK YOUR TEACHER J [ PRACTICE ANOTHER J Find the limit, if it exists. {If an answer does not exist, enter DNE.} w12 4 7)173 Need Help? 10. [-/1 Points] AILS LARCALC12 3.5.033. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the limit, if it exists. (If an answer does not exist, enter DNE.} 5 x = Bx + sin(x) 11. [-/1 Points] DETAILS LARCALC12 3.5.035. PRACTICE ANOTHER [ MY NOTES \" ASK YOUR TEACHER ] Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim sin{6x) x = x Need Help? Submit Answer 12. [-/4 Points] DETAILS LARCALC123.5.001. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Describe what each statement means, (a) lim fix)= -6 A As x -Select without bound, f{x) apprnaches[ (b} lim fx)=5 A As x -=Select-- & without bound, f{x) approaches[ Need Help? I: Submit Answer ] 13. [-/1 Points] DETAILS LARCALC12 3.5.003. [ MY NOTES \" ASK YOUR TEACHER ]| PRACTICE ANOTHER A graph can have a maximum of how many horizontal asymptotes? Explain. () The maximum number of horizontal asymptotes is one, from either the left or the right. O The maximum number of horizontal asymptetes is equal to the degree of the function. () The maximurmn number of horizontal asymptotes is two, one from the left and one from the right. () The maximum number of horizontal asymptotes is faur, two from the left and two from the right. (O) There is no maximum number of horizontal asymptotes. Need Help? [l [ Submit Answer 14. [-/1 Points] LARCALC12 3.5.005. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Match the function with one of the graphs below using horizontal asymptotes as an aid. (Select the correct graph. ) 2 fix) = 2x x2+2 y 3 3 2 meeemanenns emepf e 15. [-/1 Points] DETAILS LARCALC12 3.5.007. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Match the function with one of the graphs below using horizontal asymptotes as an aid. (Select the correct graph.) x flx) = 42 Need Help? Submit Answer 16. [-/1 Points] DETAILS LARCALC12 3.5.009. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Match the function with one of the graphs below using horizontal asymptotes as an aid. (Select the correct graph.) _ 4 sin{x) 1 f(x) Match the function with one of the graphs below using horizontal asymptotes as an aid. (Select the correct graph.) f( x) = - 4 sin(x) x2 + 1 we 3 2- 1 -3- -2 1 2 -3 -2 -1 1 2 3 -1 -2 O -3 -2 -1 2 -2 - 1 2 -2 O -3 -2 TTT -3 -2 -1 1 2 -1 X -2 2 -3 Need Help? Read It Submit Answer 17. [-/3 Points] DETAILS LARCALC12 3.5.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find lim h(x), if it exists. (If an answer does not exist, enter DNE.) x -+ f(x) = 6x3 - 7 (a) h(x) = _(x) lim h(x) = x -+ (b) h(x) = x3 lim h(x) = x -+ ce (c) h( x) = _ f( x ) x4 lim h(x) = X -+ ce18. [-/3 Points] DETAILS LARCALC12 3.5.013. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find each limit, if it exists. (If an answer does not exist, enter DNE.) (a) lim x+ 6 X -+x x6 - 5 (b) lim x3+ 6 x -+* x5 - 5 (c) lim x5+ 6 x-+x x4 - 5 Need Help? Read It Watch It Submit Answer 19. [-/2 Points] DETAILS LARCALC12 3.5.039. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Use a graphing utility to graph the function. (Select the correct graph.) 8x f( x ) = 12 + 3 5 5/ -10 -5 5 10 -10 -5 5 10 5 -5 O 5 - X -10 -5 5 10 -10 - 5 5 10 -5 -5 O Find the equations of any horizontal asymptotes. (Enter your answers as a comma-separated list of equations. If an answer does not exist, enter DNE.) Need Help? Read It Watch It Submit Answer 20. [-/1 Points] DETAILS LARCALC12 3.5.043. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the limit. Use a graphing utility to verify your result. (Hint: Treat the expression as a fraction whose denominator is 1, and rationalize the numerator. If an answer does not exist, enter DNE.) lim x -+ (x + vx2+ 2)21. [-/1 Points] DETAILS LARCALC12 3.5.053. | MY NOTES | ASK YOUR TEACHER | Explain the differences between limits at infinity and infinite limits. () An Infinite limit deals with the end behavior of a function. A limit at infinity describes how a limit falls to exist, D An infinite limit deals with the end behavior of polynomials only. A limit at infinity describes how a limit fails to exist for any function. "-:} An infinite limit describes how a limit fails to exist for any function. A limit at infinity deals with the end behavior of polynomizals only. () An infinite limit describes how a limit fails to exist. A limit at infinity deals with the end behavior of a function