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Mrs.Volynskaya Study Guide Methods for Solving Limits with Calculator Method 1:Graphically Ex.limx→1x2+3x-4x-1Put equation into graph: y=______________ Use the TRACE button to evaluate for Y given x = ____, ____, ____ y = ____, ____, ____Method 2:Numerically Ex.limx→1x2+3x-4x-1Put equation into: y=______________Set Table: push 2nd window (TBLSET)TABLE SETUPTblStart =____ =____Indpnt:AutoDepend:AutoTable: push 2nd Graph (TABLE)Look at table to evaluate the Limit = ________Method 3:AnalyticallyPlug the x value being approached into the given function.If your result exists then that is your solution.If your result doesn’t exist and is not 00 then the limit does not exist.If your result doesn’t exist and is 00 then the limit exists. The expression needs to be simplified to find the limit.After you simplify re-plug in the x value to find the solution.Mrs.Volynskaya Evaluating Limits by Viewing the Graph of F(x) Name___________Use the Graph of f below to evaluate each limit: limx→-3-fx b. limx→-3+fxc.limx→-3fx d.limx→2-fx e. limx→2+fx f.limx→2fx Use the Graph of g below to evaluate each limit:limx→-2gx b. limx→1gxc.g1 d.limx→3-gx e. limx→3+gx f.limx→3gx Use the graph to evaluate each limit:limx→0fxlimx→2fxf2 Use the graph to evaluate each limit:limx→0fxlimx→2fxf2 Use the graph to evaluate each limit:limx→3fx b.limx→0fx c.limx→1fx d. limx→1-fx e. limx→1+fx f.f1 Use the graph to evaluate each limit:limx→0-fx b.limx→0+fx c. limx→0fx d. limx→1-fx e. limx→1+fx f. limx→1fxg. limx→2-fx h.limx→2+fxi. limx→2fxj.f2 k.f0 Mrs.Volynskaya FIND the following limits Name____________ limx→3x2-2x-3x-32. limx→-3x2+4x-4x-33. limc→0c2+1 4. limu→1u2+6u-7u2-1 5. limt→2t2-5t+6t2-t-2 6. limx→2x2+x-6x+27. limx→2x3-8x-28. limx→0x3-16xx2+4x9. limx→-32x2+5x-3x+310. limx→2x3 ................
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