2. [-/1 Points] DETAILS SCALCET8 2.6.AE.007. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Video Example () EXAMPLE 6 Evaluate lim 2/x. X - 0- SOLUTION If we let t = 2/x, we know that t -> -co as x - 0 . Therefore, by lim X = 0, X - -00 lim 2/x = lim x - 0- t - -00 (See this exercise.) Need Help? Read It14. [-/1 Points] DETAILS SCALCET8 2.6.057. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find a formula for a function f that satisfies the following conditions. lim f(x) = 0, lim f(x) = -co, f(6) = 0 X -100 X- 0 lim f(x) = 0, lim f(x) = -00 X-8 x-8+ f (x ) Need Help? Read It Watch It15. [0.511 Points] DETAILS PREVIOUS ANSWERS SCALCETS 2.6.055. MY NOTES ASK YOUR TEACHER Let P and Q be polynomials with positive coefficients. Consider the limit below. . ng! X'TW cm (a) Find the limit if the degree of P is less than the degree of Q. E (b) Find the limit if the degree of P is greater than the degree of Q. DNE x Need new? 16. [011 Points] PREVIOUS ANSWERS SCALCE'I'B 2.6.069. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER In a later chapter we will be able to show, under certain assumptions, that the velocity v(t) of a falling raindrop at time t is m = V'r(1 2'9\"\") where g is the acceleration due to gravity and VT is the terminal velocity of the raindrop. (a) Find lim v(t)- tam -x (b) Graph v(t) if VT = 8 m/s and g = 9.8 m/sz. (A graphing calculator is recommended.) v(t) V(l) 10 10 10 v(t) V(t) (c) How long does it take for the velocity of the rain drop to reach 99% of ii: terminal velocity? (Assume the conditions from part (b). Round our answer to two decimal places.) 3.76 sec Neee Help? Wewr'ng Saved Work Revert to Last Response 17. [I1 Points] DETAILS SCALCETB 2.6.076. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER How large do we have to take x so that 11; Need Help? Submit Answer VI'BWH'IQ Saved Work Revert to Last Response 15. [I1 Points] DETAILS SCALCE'I'B 2.6.513.XP. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the limit, if it exists. (If an answer does not exist, enter DNE.) IiITI 6 cos(x) X 4F 00 E New Hem? Select the second function in "The Limit of a Function", y = v x. (a) Set a = 5 and & = 0.2. Use the 8-slider to find a value for o so that f(x) is within 0.2 of f(5) for all values of x where 5 -