91Ó°ÊÓ

In the following exercises, use direct substitution to evaluate each limit. $$\lim _{x \rightarrow 3} \ln e^{3 x}$$

In the following exercises, use direct substitution to show that each limit leads to the indeterminate form 0\(/ 0\) . Then, evaluate the limit. $$\lim _{x \rightarrow 4} \frac{x^{2}-16}{x-4} $$

In the following exercises, use direct substitution to show that each limit leads to the indeterminate form 0\(/ 0\) . Then, evaluate the limit. $$\lim _{x \rightarrow 2} \frac{x-2}{x^{2}-2 x}$$

In the following exercises, use direct substitution to show that each limit leads to the indeterminate form 0\(/ 0\) . Then, evaluate the limit. $$\lim _{x \rightarrow 6} \frac{3 x-18}{62 x-12}$$

In the following exercises, use direct substitution to show that each limit leads to the indeterminate form 0\(/ 0\) . Then, evaluate the limit. $$\lim _{x \rightarrow 0} \frac{(1+h)^{2}-1}{h}$$

In the following exercises, use direct substitution to show that each limit leads to the indeterminate form 0\(/ 0\) . Then, evaluate the limit. $$\lim _{x \rightarrow 9} \frac{t-9}{\sqrt{t}-3}$$

In the following exercises, use direct substitution to show that each limit leads to the indeterminate form 0\(/ 0\) . Then, evaluate the limit. $$\lim _{h \rightarrow 0} \frac{\frac{1}{a+h}-\frac{1}{a}}{h},$$ where \(a\) is a real-valued constant

In the following exercises, use direct substitution to show that each limit leads to the indeterminate form 0\(/ 0\) . Then, evaluate the limit. $$\lim _{\theta \rightarrow \pi} \frac{\sin \theta}{\tan \theta}$$

In the following exercises, use direct substitution to show that each limit leads to the indeterminate form 0\(/ 0\) . Then, evaluate the limit. $$\lim _{x \rightarrow 1} \frac{x^{3}-1}{x^{2}-1}$$

In the following exercises, use direct substitution to show that each limit leads to the indeterminate form 0\(/ 0\) . Then, evaluate the limit. $$\lim _{x \rightarrow 1 / 2} \frac{2 x^{2}+3 x-2}{2 x-1}$$