Let { P n } be a sequence of points determined as in the figure. Thus | A P 1 | = 1 , | P n P n + 1 | = 2 n − 1 , and angle A P n P n + 1 is a right angle. Find lim n → ∞ ∠ P n A P n + 1 .
Solution Summary: The author explains how the given figure and Pythagorean Theorem can be used to find the undersetnto 'infty' mathrmlimangle
Let
{
P
n
}
be a sequence of points determined as in the figure. Thus
|
A
P
1
|
=
1
,
|
P
n
P
n
+
1
|
=
2
n
−
1
, and angle
A
P
n
P
n
+
1
is a right angle. Find
lim
n
→
∞
∠
P
n
A
P
n
+
1
.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.