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Equations Final Exam - Equations: Statistics (Ch 7): n x x x x n 1 2 1

Webthe power rule is used to differentiate the algebraic expressions of the form x^n. Webfirst remark that the polynomial x^m+k has simple roots. Let us call the roots c_j for 1\leq j\leq m. Therefore x^n/(x^m+k) rewrites as a sum of simple elements. Webwhat is the derivative of xn?

Product of exponentials with same base. If we take the product of two exponentials with the same base, we simply add the exponents: Xaxb = xa + b. 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| $$f(x) = \sum_{n=1}^\infty n.

[Solved] a) Find the radius of convergence and interval of convergence

If f(x) = limit n→∞ x^n-x^-nx^n+x^-n,x>1 then int x f(x) (x + √((1 + x

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[Solved] . Suppose Xn X, and Yn Y. Let Zn = Xn + Yn and Z = X + Y

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Formule EVP - n x x i = = i i i n x n x x = xi fi = i i i n n f = i i i

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$Show that the f(x)=begin{cases} cfrac { { x }^{ n }-1 }{ x-1 } ,quad$

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