Discover the Path to Mathematical Mastery
An Education That Counts
Discover the Path to Mathematical Mastery
An Education That Counts
For the following properties it is assumed that each limit \(\underset{x\to a}{\lim}f(x)\) and \(\underset{x\to a}{\lim}g(x)\) exists; furthermore, assume there are no domain violations for the respective given limit.
For the following limits, it is assumed that the functions \(P(x), Q(x)\) are both polynomials whose degrees are \(deg(P(x))=n\) and \(deg(Q(x))=m\)
\(P(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+\cdots+a_{2}x^{2}+a_{1}x+a_0\)
\(Q(x)=b_mx^m+b_{m-1}x^{m-1}+b_{m-2}x^{m-2}+\cdots+b_{2}x^{2}+b_{1}x+b_0\)