Taylor’s Theorem, Taylor’s Series, Taylor’s Series Problems and Solutions

Taylor’s Theorem, Taylor’s Series, Taylor’s Series Problems and Solutions

## Problems

- Find the Taylor’s series of sinx in powers of (x- π/2) up to the fourth degree term
- Find the Taylor’s Series of log x in powers of (x -1) up to fourth degree terms
- Expand tan x in Taylor’s Series up to three in powers of (x-π/4)
- Expand log(cos x) about the point x=π/3 up to 3rd degree terms using Taylor’s Series
- Obtain the Taylor’s expansion log e x about the point x=1 up to the term containing 4th degree and hence obtain log e (1.1)
- Expand tan-1 x in powers of (x – 1) up to the term containing 4th degree