Serie's sum of 2/n*7^n?
How do we find it's sum for n=1 to n=inf?
I really do not know how to start, wolfram alpha gave me the answer, but I'm not making any sense out of it.
http://www.wolframalpha.com/input/?i=n%3D1+to+n%3Dinf+2%2F%28n*7%5En%29+sum
I have to find the Maclaurin series of:
(1) f(x)=cos(x)+x,
(2) g(x)= cos(x^2)+x^2
(3) h(x)=x*sin(2x).
I'm stuck at the first one, I kind of understand the concept of how P(0)=f(0)+f'(0)x+(f''(0)x^2)/2+. . .
What it gave me when I started calculating the value of the fn was this...
The sum of "(n+3)!/(3n+2)!" with n=1 to n=inf. How do I find if it converges or diverges by using one of the tests(ratio, roots series, divergence, etc)?
According to the blackbody effect, can something be so hot that it emits no visible light?
I say this because the more heated an object is, the more it moves away from the visible light spectrum, does that apply until there is no light at all?
1.A block of mass M=1 kg rests on a frictionless surface and is connected to a horizontal spring of force constant k=25 N/m. The other end of the spring is attached to a wall. A second block of mass m=500 g, rests on top of the first block. The coefficient of static friction between the blocks...