- #1
Ubinunc
- 6
- 0
a couple of "Infinite Series" questions...
Hi,
I'm trying to solve some problems in "Stroud's Engg mathematics"...
I'm stuck with these 2 questions:
Σ (r=0→∞) (2r) / (r+1)!
and
Σ (r=0→n) (2r-1) / r(r+1)(r+2)
the 1st question converges to 2. My 1st try is divide everything the numerator and denominator by r, but I cannot show that (r+1)!/r converges to 1. (or am I missing something?)
for the second question, I was asked to derive a formula for getting the sum for n terms of the series. I'm clueless where to start.
Any help greatly appreciated.
Hi,
I'm trying to solve some problems in "Stroud's Engg mathematics"...
I'm stuck with these 2 questions:
Σ (r=0→∞) (2r) / (r+1)!
and
Σ (r=0→n) (2r-1) / r(r+1)(r+2)
the 1st question converges to 2. My 1st try is divide everything the numerator and denominator by r, but I cannot show that (r+1)!/r converges to 1. (or am I missing something?)
for the second question, I was asked to derive a formula for getting the sum for n terms of the series. I'm clueless where to start.
Any help greatly appreciated.