Question 1
Which of the following statements is true about the convergence of the series $ \sum_{n=1}^{\infty} \frac{1}{n} $?
Question 2
What is the radius of convergence for the power series $ \sum_{n=0}^{\infty} \frac{(x-2)^n}{n! \cdot 3^n} $?
Question 3
Which of the following is a key characteristic of a convergent sequence $ \{a_n\} $?
Question 4
What is the Taylor series expansion of $ f(x) = \frac{1}{1-x} $ centered at $ a=0 $ (Maclaurin series)?
Question 5
If a series $ \sum_{n=1}^{\infty} a_n $ converges, which of the following must be true about the limit of its terms?
