13-15 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.ualX3x4X3inan13. lim(2f(x) – 3g(x))14. lim -2f(x)X3X→315. lim f(x)16. lim f(x)g(x)X417. limx→3f(x) – 38(x)18. lim f(g(x))X→3x² - 119. Graph the functions f(x) = x +1 and g(x) =X-1and show that they are equal everywhere except at onepoint. Then show that f (x) and g(x) have different values,but the same limit, at this point.4-x220. Graph the functions f(x) = 2 – x and g(x) =and show that they are equal everywhere except at onepoint. Then show that f (x) and g(x) have different values,but the same limit, at this point.21. In the Squeeze Theorem for limits, we require that 1(x) <f(x) < u(x) for all x sufficiently close to c, but we donot require this inequality to hold at the point x= c.Why not?%3Dx+2

Given: limx→3f(x)=5 limx→4f(x)=2 limx→3g(x)=4 13) Determine limx→32f(x)-3g(x).…

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

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

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 31SBE: When Limiting Values Occur Suppose S(t) represents the average speed, in miles per hour, for a...

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