16-18 please 1.5Limit Rules and Calculating Basic Limits135Suppose f and g are functions such that lim f(x) = 5,lim f(x) = 2, and lim g(x) = 4. Given this information, calcu-late the limits that follow, if possible. If it is not possible withthe given information, explain why.s equalX3X4X3ped inthan13. lim (2f (x) – 3g(x))14. lim -2f(x)X→3X→3form15. lim f(x)16. lim f(x)g(x)m.eezeX→417. lim (x) – 38(x)18. lim f(g(x))X→3x→3late.ule,x² – 119. Graph the functions f(x) =x+1 and g(x)and show that they are equal everywhere except at onepoint. Then show that f (x) and g(x) have different valuesbut the same limit, at this point.x - 1oseon.4-x20. Graph the functions f(x) = 2 – x and g(x) =and show that they are equal everywhere except at orpoint. Then show that f (x) and g(x) have different valuebut the same limit, at this point.%3Dx+2byheat21. In the Squeeze Theorem for limits, we require that 1(x)lef(x) s u(x) for all x sufficiently close to c, but wenot require this inequality to hold at the point x =

Answered: Image /qna-images/answer/c13fbdd2-42c9-453c-b5b4-2de042a2b1fa.jpg

Suppose f and g are functions such that lim f(x) = 5, %3D lim f(x) = 2, and lim g(x) = 4. Given this information, calcu- late the limits that follow, if possible. If it is not possible with the given information, explain why. x3 %3D x4 X3 13. lim (2f(x) – 3g(x)) 14. lim -2f(x) X3 X→3 15. lim f(x) 16. lim f(x)g(x) X→7 X4 17. lim (x) - 3 18. lim f(g(x)) x3 x→3 8(x) x2 -1 19. Graph the functions f(x) = x+1 and g(x) :

Suppose f and g are functions such that lim f(x) = 5, %3D lim f(x) = 2, and lim g(x) = 4. Given this information, calcu- late the limits that follow, if possible. If it is not possible with the given information, explain why. x3 %3D x4 X3 13. lim (2f(x) – 3g(x)) 14. lim -2f(x) X3 X→3 15. lim f(x) 16. lim f(x)g(x) X→7 X4 17. lim (x) - 3 18. lim f(g(x)) x3 x→3 8(x) x2 -1 19. Graph the functions f(x) = x+1 and g(x) :

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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