1.1. indeterminate versus undefined. Consider g(x) = h(x) = 3-x sinx X- a. Compute h(), g(3)....

  

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1.1. "indeterminate versus undefined". Consider g(x) = h(x) = 3-x sinx X- a. Compute h(), g(3). State which one is undefined, and which one is indeterminate? b. An undefined fraction in a rational function leads to vertical asymptotes. To elucidate how the graph is approaching that asymptote we always find two one-sided limits. x Find lim x x-3+ 3-x and lim x-3-3-x by making an input/output table near 3 X 3.5 3.1 3.01 3.001 x 3-x x Conclusion lim X x-3+ 3x = x 3-x Conclusion X 2.5 lim = x-3-3-x 2.9 2.99 2.999 1.1. "indeterminate versus undefined". Consider g(x) = h(x) = 3-x sinx X- a. Compute h(), g(3). State which one is undefined, and which one is indeterminate? b. An undefined fraction in a rational function leads to vertical asymptotes. To elucidate how the graph is approaching that asymptote we always find two one-sided limits. x Find lim x x-3+ 3-x and lim x-3-3-x by making an input/output table near 3 X 3.5 3.1 3.01 3.001 x 3-x x Conclusion lim X x-3+ 3x = x 3-x Conclusion X 2.5 lim = x-3-3-x 2.9 2.99 2.999