Toronto Math Forum
MAT3342020S => MAT334Lectures & Home Assignments => Chapter 2 => Topic started by: Yan Zhou on February 10, 2020, 04:42:13 PM

Find the closed form for the given power series.
$$\sum_{n=2}^{\infty}n(n1)z^{n}$$
hint: divide by $z^{2}$
I tried the hint but still have no idea.
Thanks in advance.

Please correct what you typed

Yes, I just find out that it is different from textbook, and I know how to do it now.
By the way, there is a typo in question 16 which should be $$\sum_{n=1}^{\infty} n(z1)^{n1}$$ instead of $$\sum_{n=1}^{\infty} (z1)^{n1}$$
In section 2.3,
question 5 should be $$\int_{0}^{2\pi} \frac{d\theta}{2+cos\theta}$$ instead of $1+cos\theta$
question 8 should be $$\int_{0}^{\pi}\frac{d\theta}{1+(sin\theta)^2}$$ the range is from 0 to $\pi$ instead of $2\pi$
question 9 should be "joining $1i$ to $1+i$".

Fixed. Thanks!