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Estimating limits graphically and numerically Use a graph of f estimate
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Calculus, Single Variable: Early Transcendentals (3rd Edition)
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- a. What is the domain of f? Express your answer in interval notation. f(x)= 1 - x^4 / x^2 - 1 b. Use a sequence of values of x near a=1 to estimate the value of limx→1 f(x). The sequence should include values such as 1.01, 1.001, etc. c. Use algebra to simplify the expression 1 - x^4 / x^2 - 1 d. True or false: f(1)=-2 e. Based on all of your work above, construct an accurate, labeled graph of y=f(x) on the interval [0,2].arrow_forwardComplete (a) and (b). You can verify your conclusions by graphing the functions with a graphing calculator. lim x→∞ 6/x + 9 (a) Use analytic methods to evaluate the limit. (If the limit is infinite, enter '∞' or '-∞', as appropriate. If the limit does not otherwise exist, enter DNE.)arrow_forwardhow to find limit of given function j(x)= kcosx x < 0 2x - k x > 0 Find the value of k Enter exact answerarrow_forward
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning