5. Suppose f, g, h, i, j, k are functions satisfying• lim f(x) = lim g(x) = ∞,x 2x→2• h(x) > 0 for all x ‡ 2 and lim h(x) = 0,x→2● lim i(x) = 3,x 2• j(x) is a polynomial and j(2) = 5,(x - 2)j(x)x 2●k(x)If possible, calculate the following limits or determine that they do not exist. Classify infinite limits ifpossible. If there is not enough information to determine what happens, find examples that illustrate thatdifferent behavior is possible.a. lim (i(x) + j(x))x→2b. lim(i(x)j(x))c. limx→2 h(x)i(x)d. limx→2e. lim (f(x) + g(x))x→2f. lim (f(x) - g(x))x 2g. lim (f(x)g(x))x 2f(x)x 2 g(x)h. limi. lim (f(x) +i(x))x 2j. lim (f(x)i(x))x→2k. lim (f(x)h(x))x1. lim k(x)x→2m. True or false: k(x) = j(x) for all x.

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College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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