Let f(x)=4π⋅(sinx+13sin(3x)+15sin(5x)+…). If for x=π2, we have
f(x)=4π(1−13+15−17+…)=1
then obviously :
1−13+15−17+⋯=π4
Now how can we prove that:
π28=1+132+152+172+…
Subscribe to:
Post Comments (Atom)
real analysis - How to find limhrightarrow0fracsin(ha)h
How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
-
Ok, according to some notes I have, the following is true for a random variable X that can only take on positive values, i.e P(X \int_0^...
-
Self-studying some properties of the exponential-function I came to the question of ways to assign a value to the divergent sum $$s=\sum_{k=...
-
The question said: Use the Euclidean Algorithm to find gcd (1207,569) and write (1207,569) as an integer linear combination of 1207 ...
No comments:
Post a Comment