Truncation Error in Taylor Series

function

x

e

sin(x)

cos(x)

number of terms

5

x value

1.2

approximate value =	3.29440000
exact value =	3.32011692
truncation error =	0.02571692

Taylor series for transcendental functions have an infinite number of terms. This Demonstration shows the truncation error created by using a finite number of terms in approximating three such functions with Taylor series based at zero.