Homework Statement
Find the Divergence or Convergence of the series
\sum^{∞}_{n=1}\frac{2n^2+3n}{\sqrt{5+n^5}}
Homework Equations
Ratio Test, Comparison Test, Limit Comparison Test, Integral test etc.
The Attempt at a Solution
This question was on my final exam and the only question of...
Sorry for not putting enough info originally, new to the forums.
Also when I integrate, I get stuck at
=√8∫√(cosθ+1)dθ
Only step I could think of next is to u-sub what's inside the radical.
Homework Statement
Find the Exact length of the Polar Curve for
r=2(1+cosθ)
No limits of Integration were given which I found to be odd.
Homework Equations
L= ∫√(r^2+(dr/dθ)^2)dθ
The Attempt at a Solution
r=2(1+cosθ)
dr/dθ=-2sinθ
L=∫√((2+2cosθ)^2+(-2sinθ)^2)dθ...