X N X X X N - crm.catalystglobal.com f5ea95
For the function f (x) = xn, n should not equal 0, for reasons which will become clear. If we take the product of two exponentials with the same base, we simply add the exponents: Webfirst remark that the polynomial x^m+k has simple roots.
Xaxb = xa + b. Webthe power rule is used to differentiate the algebraic expressions of the form x^n. $$f(x) = \sum_{n=1}^\infty n. Product of exponentials with same base. Webwhat is the derivative of xn? Therefore x^n/(x^m+k) rewrites as a sum of simple elements. Webusing the ratio test, $\dfrac{a_{n+1}}{a_n} = \dfrac{(n+1)x^{n+1}}{nx^n} = \dfrac{(n+1)x}{n}$.
Webwhat is the derivative of xn? Therefore x^n/(x^m+k) rewrites as a sum of simple elements. Webusing the ratio test, $\dfrac{a_{n+1}}{a_n} = \dfrac{(n+1)x^{n+1}}{nx^n} = \dfrac{(n+1)x}{n}$. So, the series converges when $|x|