91Ó°ÊÓ

Sketch the interval \((a, b)\) on the \(x\) -axis with the point \(c\) inside. Then find a value of \(\delta>0\) such that for all \(x, 0<|x-c|<\delta \Rightarrow a

Find the average rate of change of the function over the given interval or intervals. \(f(x)=x^{3}+1\) a. [2,3] b. [-1,1]

Find the average rate of change of the function over the given interval or intervals. \(g(x)=x^{2}-2 x\) a. [1,3] b. [-2,4]

Sketch the interval \((a, b)\) on the \(x\) -axis with the point \(c\) inside. Then find a value of \(\delta>0\) such that for all \(x, 0<|x-c|<\delta \Rightarrow a

Find the average rate of change of the function over the given interval or intervals. \(h(t)=\cot t\) a. \(\quad[\pi / 4,3 \pi / 4]\) b. \([\pi / 6, \pi / 2]\)

Find the limit of each function (a) as \(x \rightarrow \infty\) and (b) as \(x \rightarrow-\infty\). (You may wish to visualize your answer with a graphing calculator or computer.) $$f(x)=\frac{2}{x}-3$$

Sketch the interval \((a, b)\) on the \(x\) -axis with the point \(c\) inside. Then find a value of \(\delta>0\) such that for all \(x, 0<|x-c|<\delta \Rightarrow a

Sketch the interval \((a, b)\) on the \(x\) -axis with the point \(c\) inside. Then find a value of \(\delta>0\) such that for all \(x, 0<|x-c|<\delta \Rightarrow a

Find the average rate of change of the function over the given interval or intervals. \(g(t)=2+\cos t\) a. \([0, \pi]\) b. \([-\pi, \pi]\)

Find the limit of each function (a) as \(x \rightarrow \infty\) and (b) as \(x \rightarrow-\infty\). (You may wish to visualize your answer with a graphing calculator or computer.) $$f(x)=\pi-\frac{2}{x^{2}}$$