Guess by constructing a table of suitable values using a calculator. Guess lim x

Question

Guess by constructing a table of suitable values using a calculator. Guess lim x right arrow sin x cos 1 / x by constructing a table of suitable values using a calculator. (Use radians. ) Guess by constructing a table of suitable values using a calculator. Guess by constructing two tables of suitable values using a calculator. Sketch a graph of a function y = f(x) with domain [0. 6 for which the following six limits are correct: (Bonus question: worth 10 points. Total points for assignment not to exceed 100. ) Guess by constructing two tables of suitable values using a calculator. (Careful: The expression is )

Explanation / Answer

lim x->2 (x^3 - 8)/(x - 2) 1) x = 2.001 ----------------- (2.001^3 - 8)/(2.001 - 2) = 12.006 2) x = 2.002 ----------------- (2.002^3 - 8)/(2.002 - 2) = 12.012 3) x = 2.003 ----------------- (2.003^3 - 8)/(2.003 - 2) = 12.018 lim x->2 (x^3 - 8)/(x - 2) = 12

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