# Horacio Oliveira

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 12 $99$th derivative of $\sin x$ 10 Solving of an integral 8 Evaluating the following integral: $\int\frac1{x^3+1}\,\mathrm{d}x$ 7 Find $\lim_{x\rightarrow 1}\frac{\sin{(x^2-1)}}{x-1}$ 5 Points on $(x^2 + y^2)^2 = 2x^2 - 2y^2$ with slope of $1$

# 2,371 Reputation

 +10 Find $\lim_{x\rightarrow 1}\frac{\sin{(x^2-1)}}{x-1}$ +10 Prove by Induction that: $1+nx\le (1+x)^n$? +10 $99$th derivative of $\sin x$ +10 Find the minimum of $(x(1+y)+y(1+z)+z(1+x))/\sqrt{xyz}$ over positive integers $x,y,z$

# 28 Questions

 3 Very basic Calculus question 2 Question about integration on a box 2 Question about lipschitz condition 2 easy question about contraction maps 2 Question about integration and sets of measure zero

# 64 Tags

 76 calculus × 46 20 sequences-and-series × 20 40 integration × 31 20 derivatives × 8 27 real-analysis × 48 18 trigonometry × 7 26 limits × 14 16 inequality × 9 21 functions × 12 11 continuity × 8

# 1 Account

 Mathematics 2,371 rep 1418