Problem 1
In Problems \(1-15\), state whether the indicated function is continuous at \(3 .\) If it is not contimuous, tell why. $$ f(x)=(x-3)(x-4) \quad \text { 2. } g(x)=x^{2}-9 $$
Problem 1
Simplify the given expression. $$ 10^{2 \log _{10} 5} $$
Problem 1
$$ \text { In Problems 1-6, find the indicated limit. } $$ $$ \lim _{x \rightarrow 3}(x-5) $$
Problem 1
Give the appropriate \(\varepsilon-\delta\) definition of each statement. $$ \lim _{t \rightarrow a} f(t)=M $$
Problem 1
Find the limits. $$ \lim _{x \rightarrow \infty} \frac{x}{x-5} $$
Problem 1
Evaluate each limit. $$ \lim _{x \rightarrow 0} \frac{\cos x}{x+1} $$
Problem 2
Simplify the given expression. $$ 2^{2} \log _{2} x $$
Problem 2
$$ \text { , find the indicated limit. } $$ $$ \lim _{t \rightarrow-1}(1-2 t) $$
Problem 2
State whether the indicated function is continuous at \(3 .\) If it is not continuous, tell why. $$ g(x)=x^{2}-9 $$
Problem 2
Find the limits. $$ \lim _{x \rightarrow \infty} \frac{x^{2}}{5-x^{3}} $$
