Evaluate the following limit.
\lim_{x \to \infty} \frac{35}{x^2}
\lim_{x \to \infty} \frac{35}{x^2} =
Evaluate the following limit.
\lim_{x \to 0} \frac{3e^x - 3}{2x}
\lim_{x \to 0} \frac{3e^x - 3}{2x} =
In a savings account, the amount of money in the account after one year is given by the
function $S(r) = 5000e^r$, where $r$ is the interest rate.
If the interest rate is 2%, the amount of money after one year is $5,101.
If the interest rate is 5.6% the amount of money after one year is $5,288.
Name the theorem that guarantees that there is an interest rate between 2% and 5.6% that gives
you $5,200 after one year.
What property does this function have that guarantees we can use this theorem?
