Infinite series, Infinite series ,13-22 – HP 50g Graphing Calculator User Manual
Page 457
Page 13-22
Some notes in the use of units in the limits of integrations:
1 – The units of the lower limit of integration will be the ones used in the final
result, as illustrated in the two examples below:
2 - Upper limit units must be consistent with lower limit units. Otherwise, the
calculator simply returns the unevaluated integral. For example,
3 – The integrand may have units too. For example:
4 – If both the limits of integration and the integrand have units, the resulting
units are combined according to the rules of integration. For example,
Infinite series
An infinite series has the form
. The infinite series typically
starts with indices n = 0 or n = 1. Each term in the series has a coefficient h(n)
that depends on the index n.
n
n
a
x
n
h
)
(
)
(
1
,
0
−
∑
∞
=