Homework Statement
Discuss the stability of the equilibrium solutionsHomework Equations
dy/dx = cos^2(y) between 0<=y<=2pi
y(0)=0
y(0)=pi/2
y(0)=piThe Attempt at a Solution
Found the equilibrium solutions to be pi/2 and 3pi/2.
Rough graphed y(x) which was a y vs x graph with horizontal lines...
Homework Statement
Use sandwich Rule to find the limit lim n> infinity (a_n) of the sequences, for which the nth term, a_n, is given.
Homework Equations
^{lim}_{n\rightarrow∞}\frac{n!}{n^{n}}
The Attempt at a Solution
I know by just looking at it, n^n Approaches infinity much...
Negative 1. Got it! I've never done the 'Dominate Term' Approach. Should this be the first approach to consider when doing limits of sequences?
What's the first things I should consider when I approach questions like this in the future? (Whats the checklist to look out for)
Thanks man...
Calculus 2: Sequence Limits Question to the power n??
Homework Statement
Find the limits (if it exists) to decide which sequences, whose nth term is given below.
Homework Equations
(\frac{3^{n}-4^{n}}{3n^{2}+4^{n}+7})
The Attempt at a Solution
I've done a few of these but as Soon as the...