x01+3x by graphing the function f(x)= x/(/1 3x-1) (b) Make a table of values of f(x) for x close to 0 and the value of the limit. (c) Use the Limit Laws to prove guess is that your guess correct. 34. (a) Use a graph of 3+ x - 3 f(x) X to estimate the value of lim,0 f(x) to two decimal places. (b) Use a table of values of f(x) to estimate the limit to four decimal places. (c) Use the Limit Laws to find the exact value of the limit. 35. Use the Squeeze Theorem to show that lim,0 0. Illustrate by graphing the functions f(x) = -x, g(x) = x cos 20Tx, and h(x) = x2 (x cos 20Tx) on the same screen. 36. Use the Squeeze Theorem to show that TT = 0 lim Vx3 x2 sin x-0 х Illustrate by graphing the functions f, g, andh (in the notation of the Squeeze Theorem) on the same screen. 4x 7 for x> 0, find lim f(x) TOO0:0 evaluate lim lim g(x) 37. If 4x 9 < f(x)x x4 g(x) < x-x + 2 for all 38. If 2x x, 2 0. 39. Prove that lim x4 COs х

x01+3x by graphing the function f(x)= x/(/1 3x-1) (b) Make a table of values of f(x) for x close to 0 and the value of the limit. (c) Use the Limit Laws to prove guess is that your guess correct. 34. (a) Use a graph of 3+ x - 3 f(x) X to estimate the value of lim,0 f(x) to two decimal places. (b) Use a table of values of f(x) to estimate the limit to four decimal places. (c) Use the Limit Laws to find the exact value of the limit. 35. Use the Squeeze Theorem to show that lim,0 0. Illustrate by graphing the functions f(x) = -x, g(x) = x cos 20Tx, and h(x) = x2 (x cos 20Tx) on the same screen. 36. Use the Squeeze Theorem to show that TT = 0 lim Vx3 x2 sin x-0 х Illustrate by graphing the functions f, g, andh (in the notation of the Squeeze Theorem) on the same screen. 4x 7 for x> 0, find lim f(x) TOO0:0 evaluate lim lim g(x) 37. If 4x 9 < f(x)x x4 g(x) < x-x + 2 for all 38. If 2x x, 2 0. 39. Prove that lim x4 COs х

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

Chapter5: A Survey Of Other Common Functions

Section5.6: Higher-degree Polynomials And Rational Functions

Problem 3TU

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