# Paulo Sérgio

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bio website fatosmatematicos.blogspot.com location age member for 2 years, 7 months seen Feb 28 '12 at 7:58 profile views 21

 4 How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$? 4 Prove that for all $n$ in the natural numbers, $n(n - 1) < 2^n$ 2 Particular solution to $y'' - 3y' + 2y = 2e^x$ 1 How to integrate $\int x^n e^x dx$? 1 Complete the square of a 4th degree expression $k^4 + 2k^3 -k^2 - 2k + 1$

# 169 Reputation

 +10 Particular solution to $y'' - 3y' + 2y = 2e^x$ +5 Evaluate the integral $\int_0^\infty \frac{t}{e^t-1}\mathrm dt$ +20 How to prove that $\lim\limits_{x\to0}\frac{\sin x}x=1$? -2 How to find $\sqrt[3]{8i}$

# 3 Questions

 5 Evaluate the integral $\int_0^\infty \frac{t}{e^t-1}\mathrm dt$ 2 Properties of the greatest common divisor and least common multiple 1 Finite sum of the fractional type

# 16 Tags

 6 calculus × 4 3 differential-equations × 2 5 homework × 2 2 multivariable-calculus 4 induction 1 integration × 2 4 limits 0 algebra-precalculus × 2 4 trigonometry 0 determinant

# 1 Account

 Mathematics 169 rep 12