can you please help me out solving those equations, thank you. "Plasse show all the work in separate paper thank you.
AutoSave OFF w MAT271-Lab2-Limits-FA20(1) - Saved to my Mac Home Insert Draw Design Layout References Mailings Review View Acrobat Tell me Share Comments Calibri Ligh... 16 AA Aa v 21 AaBbCcDdEe AaBbCcDdEe AaBbCcDc Paste BI Uva X 2 Av LV Av Normal No Spacing Heading 1 Styles Dictate Sensitivity Create and Share Request Pane Adobe PDF Signatures Evaluating limits graphically 1. (2 points each) Use the graph of the piecewise function f below to determine the limits/values that follow. -12 - 11-10-9 lim f(x) = x -> (-7 ) f (-7 ) = lim f (x) = x-$7 lim f(x) = lim f(x) = x -> (-7 ) + x > ( - 3 ) lim f(x) = lim f (x) = lim f (x) = x->3+ -(-7) 2. (15 points) For the function h below, sketch y = h(x) (by hand) on the axes provided. Then evaluate each specified limit using the graph. X x0' h(x) = 3-x, - 35x4 lim h(x) = x-> (-00) Page 1 of 6 531 words OX English (United States) Focus E + 107%AutoSave OFF w- MAT271-Lab2-Limits-FA20(1) - Saved to my Mac Home Insert Draw Design Layout References Mailings Review View Acrobat Tell me Share Comments Calibri Ligh... 16 A A Aa v FE AaBbCcDdEe AaBbCcDdEe AaBbCcDc Paste BI Uva X 2 Av LVAv Normal No Spacing Heading 1 Styles Dictate Sensitivity Create and Share Request Pane Adobe PDF Signatures Evaluating limits numerically 3. Use just one table of values to determine and justify the limits, numerically. a. lim - 13 sin x b. lim 13sin x_ 13 sin x 4x x-+0* 4x c. lim- 4x X 4. Use just one table of values to determine and justify the limits, numerically. a. x-4 x - 41 * -4 - 4 - x b. * -74 * 4 - x c. li |x -4 X-74 4 -x 5. Use a table of values to determine and justify each of the following limits, numerically. a. lim- e-*+3 = b. lim e-*+3 x (or ) fx x 0 10 100 1000 x 0 -1 -5 -10 -100 -1000 6. Use just one table of values to determine and justify each of the following limits, numerically. a. 2x - 5 *-78 ( x - 8) 2 b. lim 2x - 5 *- 78" ( x - 8 ) 2 C. lim 2x -5 -+8 ( x -8) 8 7. Use a table of values (round to 4 decimals) to determine the limit numerically. lim - V16x6 +17 X-+(-00) 3x3 0 -1 - 2 -5 -10 -20 Page 2 of 6 531 words OX English (United States) Focus E 102%AutoSave OFF w- MAT271-Lab2-Limits-FA20(1) - Saved to my Mac Home Insert Draw Design Layout References Mailings Review View Acrobat Tell me Share Comments Calibri Ligh... 16 A A Aa v 21 AaBbCcDdEe AaBbCcDdEe AaBbCcDc Paste BI Uva X 2 A v A v Normal No Spacing Heading 1 Styles Dictate Sensitivity Create and Share Request Pane Adobe PDF Signatures Evaluating limits symbolically 8. Use algebraic techniques and mathematical justification to evaluate the limits symbolically. Do not round answers. a. lim 5x2 -125 x->(-5) 3x2 +17x+10 b. lim 5x2 -125 x- 2 3x +17x +10 C. lim 5x2 -125 (-2) + 3x2 + 17x+10 d. lim 5x2 -125 x->53x +17x+10 e. lim - 3x2 -18 x->oo x2 - 6x+9 f. 2x -5 * - 8 ( x - 8) ? 102% 531 words OX English (United States) E Page 3 of 6 FocusAutoSave OFF w- MAT271-Lab2-Limits-FA20(1) - Saved to my Mac Home Insert Draw Design Layout References Mailings Review View Acrobat Tell me Share Comments Calibri Ligh... 16 AA Aa v AaBbCcDdEe AaBbCcDdEe AaBbCcDc Paste BI Uva X 2 A v A v Normal No Spacing Heading 1 Styles Dictate Sensitivity Create and Share Request Pane Adobe PDF Signatures Evaluating a limit of a piecewise function Other piecewise functions behave the same way in limits, allowing the function notation for the output to be replaced by the appropriate expression. Example Evaluate lim F(x) where F (x) = 4x -3 x52 (x2 -1 x> 2 Since we want lim F (x), then all x-values will satisfy x 0, like x =10, then f (x) =x|= x, like |10| =10. If x 0- means that x (-5) c. lim h(x) = d. lim h(x) = e. lim h(x) = f. lim h(x) = * (-00) Page 5 of 6 531 words OX English (United States) Focus E 102%AutoSave OFF w- MAT271-Lab2-Limits-FA20(1) - Saved to my Mac Home Insert Draw Design Layout References Mailings Review View Acrobat Tell me Share Comments Calibri Ligh... 16 A A Aa v 21 AaBbCcDdEe AaBbCcDdEe AaBbCcDc Paste BI Uva X 2 A v A v Normal No Spacing Heading 1 Styles Dictate Sensitivity Create and Share Request Pane Adobe PDF Signatures 10. Evaluate each limit symbolically. For any limits that do not exist, provide a justification. You must show every step for full credit. a. im 100-x| x->100" x-100 b. Let s (t )= [-1612 -50t +7 t>-4 - 145-t ts-4 .Evaluate lim s(t). 11. Evaluate the limit symbolically. You cannot use a table or a graph. lim - V16x6 +17 ( 00- ) + 3x3 Page 6 of 6 531 words English (United States) Focus E 102%
