1. Further Pure 1

Sequences And Series — Quiz

Test your understanding of sequences and series with 5 practice questions.

Practice Questions

Question 1

What is the radius of convergence for the power series $ \sum_{n=0}^{\infty} \frac{(x-2)^n}{n!} $?

Question 2

Which of the following tests can be used to determine the convergence of the series $ \sum_{n=1}^{\infty} \frac{n^2}{2^n} $?

Question 3

What is the Taylor series expansion of $ e^x $ around $ x=0 $?

Question 4

For what values of $ x $ does the series $ \sum_{n=1}^{\infty} \frac{x^n}{n^2} $ converge?

Question 5

Which of the following series diverges?