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Limits of composite functions Evaluate each limit and justify your answer.
34.
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Calculus: Early Transcendentals, Books a la Carte Plus MyLab Math/MyLab Statistics Student Access Kit (2nd Edition)
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Calculus, Single Variable: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (4th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Calculus and Its Applications (11th Edition)
- reate a table of values for the function and use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result. (Round your answers to four decimal places. If an answer does not exist, enter DNE.) lim x→−3 Root 46 − x-7/x+3 x -3.1 -3.01 -3.001 -2.999 -2.99 -2.9 f(x) lim x→−3 Root 46 − x-7/x+3 ≈arrow_forwardTrue or false? if f'(x)>0 for all real x values, then the limit as x goes to infinity of f(x) = infinity. Show a graph to illustrate your answer.arrow_forwardreate a table of values for the function and use the result to estimate the limit. Use a graphing utility to graph the function to confirm your result. (Round your answers to four decimal places. If an answer does not exist, enter DNE.) lim x→−3 Sq.Root 46 − x-7/x+3 x -3.1 -3.01 -3.001 -2.999 -2.99 -2.9 f(x) lim x→−3 Sq.Root 46 − x-7/x+3 ≈arrow_forward
- Use the formula below to find the instantaneous rate of change of the function at the given x-value. f(x) = 3x2 + x − 5 at x = 5 Average and Instantaneous Rate of Change▲ The average rate of change of a function f between x and x + h is f(x + h) − f(x) h . (Difference quotient gives the average rate of change.) The instantaneous rate of change of a function f at the number x is lim h→0 f(x + h) − f(x) h (Taking the limit makes it instantaneous.)arrow_forwardlim g(f(x))x->-2arrow_forwards(x)= e 9/x−1 / 4/x What is lim x→+∞s(x)?arrow_forward
- how to find limit of given function j(x)= kcosx x < 0 2x - k x > 0 Find the value of k Enter exact answerarrow_forwardLimit of a difference quotient Assuming ƒ is differentiable forall x, simplifyarrow_forwardGuess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is suggested that you report answers accurate to at least six decimal places.)Let f(x)=e2.5x−e1.6xxf(x)=e2.5x-e1.6xx.We want to find the limit limx→0e2.5x−e1.6xxlimx→0e2.5x-e1.6xx.Start by calculating the values of the function for the inputs listed in this table. x x f(x)f(x) 0.2 0.1 0.05 0.01 0.001 0.0001 0.00001 Based on the values in this table, it appears limx→0e2.5x−e1.6xx=limx→0e2.5x-e1.6xx=arrow_forward
- nd the limit, if it exists. If the limit does not exist, explain why. limx→2 1−|x|^2/1−x^2 You must show ALL of your work in order to receive full credit. Do NOT use differentiation. Do NOT use L'Hospital's Rule.arrow_forwardLim f (x) = x → 2arrow_forward[3 - x x 2 let fx)=+1 a) Find lim fx) and lim f) X-2 X-2+ exist? why? Sx) b) Dose lim X2arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning