Math 1B - Midterm 2

tests

1. p-series

2. geometric series

3. alternating series (AST)

4. n^th term

5. ratio

6. partial sums

7. direct (DCT)

8. intergral (ICT)

9. asymptotic

tests based on series

1. p-series

2. geometric series

3. alternating series (AST)

tests based on sums

1. n^th term

2. ratio

3. partial sums

comparison tests

1. direct (DCT)

2. intergral (ICT)

3. asymptotic (ACT)

p-series test

geometric series test

alternating series test (AST)

n^th term test

ratio test

direct comparison test (DCT)

integral comparison test (ICT)

asymptotic comparison test (ACT)

Taylor Series:

ln(1+x)

Taylor Series:

1/(1-x)

Taylor Series:

e^x

Taylor Series:

cos(x)

Taylor Series:

sin(x)

Taylor polynomial formula

a sub k formula

a sub n coefficients obtained by:

harmonic series formula

error bound for converging alternate series

power series formula / “infinite degree polynomial”

n^th degree Taylor polynomial

partial sums test