91Ó°ÊÓ

Let \(\lim _{x \rightarrow 4} f(x)=16\) and \(\lim _{x \rightarrow 4} g(x)=8 .\) Use the limit rules to find each limit. Do not use a calculator. $$\lim _{x \rightarrow 4} \frac{f(x)}{g(x)}$$

Let \(\lim _{x \rightarrow 4} f(x)=16\) and \(\lim _{x \rightarrow 4} g(x)=8 .\) Use the limit rules to find each limit. Do not use a calculator. $$\lim _{x \rightarrow 4}\left[\log _{2} f(x)\right]$$

Approximate the area under the graph of \(f(x)\) and above the \(x\) -axis, using each of the following methods with \(n=4\). (a) Use left endpoints. (b) Use right endpoints. (c) Average the answers in parts ( \(a\) ) and ( \(b\) ). (d) Use midpoints. $$f(x)=x+5 \text { from } x=2 \text { to } x=4$$

Tell whether each statement is true or false. If \(\lim _{x \rightarrow 1} f(x)=5,\) then 1 must be in the domain of \(f(x)\)

Let \(\lim _{x \rightarrow 4} f(x)=16\) and \(\lim _{x \rightarrow 4} g(x)=8 .\) Use the limit rules to find each limit. Do not use a calculator. $$\lim _{x \rightarrow 4} \sqrt{f(x)}$$

Approximate the area under the graph of \(f(x)\) and above the \(x\) -axis, using each of the following methods with \(n=4\). (a) Use left endpoints. (b) Use right endpoints. (c) Average the answers in parts ( \(a\) ) and ( \(b\) ). (d) Use midpoints. $$f(x)=x+2 \text { from } x=0 \text { to } x=4$$

Find the slope of the tangent line to each curve when \(x\) has the given value. Do not use a calculator. $$f(x)=x^{2} ; x=4$$

Let \(\lim _{x \rightarrow 4} f(x)=16\) and \(\lim _{x \rightarrow 4} g(x)=8 .\) Use the limit rules to find each limit. Do not use a calculator. $$\lim _{x \rightarrow 4}[1+f(x)]^{2}$$

Find the slope of the tangent line to each curve when \(x\) has the given value. Do not use a calculator. $$f(x)=x^{2}+5 ; x=2$$

Approximate the area under the graph of \(f(x)\) and above the \(x\) -axis, using each of the following methods with \(n=4\). (a) Use left endpoints. (b) Use right endpoints. (c) Average the answers in parts ( \(a\) ) and ( \(b\) ). (d) Use midpoints. $$f(x)=3+x \text { from } x=1 \text { to } x=3$$