Guess x3 - 8 / x - 2 by constructing a table of suitable values using a calculat

Question

Guess x3 - 8 / x - 2 by constructing a table of suitable values using a calculator. Guess sin x cos 1 / x by constructing a table of suitable values using a calculator. (Use radians. ) Guess 1 - sin x - cos x / x by constructing a table of suitable values using a calculator. Guess sin x / |x| and sin x / |x| 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 |sin x|1 / sin x and |sin x|1 / sin x by constructing two tables of suitable values using a calculator. (Careful: The expression is |sin x|1 / sin x, not |sinx|1 / sin x)

Explanation / Answer

limx--->0+ sinx/|x| =limx-->0+sinx/x (as x is positive) =1 limx--->0- sinx/|x| =limx-->0+ -sinx/x (as x is negative) =-1

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