# Juan Sebastian Lozano Muñoz

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 11 Gift advice: present for high school graduate interested in math 4 Limits that approach zero. 4 Trigonometry Identity: Prove that $\sin(a-b)=\sin a \cos b - \cos a \sin b$ 3 Is math built on assumptions? 3 The limit of an inverse trig function.

# 742 Reputation

 +10 For what values of a and b does the following limit equal 0? +10 Why can't $f(a) = f(b)$ in the intermediate value theorem. +2 Show $\lim_{x \to0^+} \sum_{n=1}^{\infty} \frac{2x}{n^2x^2+1} = \pi$ +2 How can I solve: ${\left [{x+1}\over2\right]}={x-1\over 3}$?

# 9 Questions

 8 Suggestions for high school? 5 Category theoretic approaches to Riemann Hypothesis? 5 Definition of a logarithm 3 Trivial sequence: $32,21,14,\dots$ 2 Why can't $f(a) = f(b)$ in the intermediate value theorem.

# 43 Tags

 11 calculus × 7 3 limits × 2 8 trigonometry × 3 3 foundations 5 soft-question × 5 3 nonclassical-logic 4 teaching × 2 3 philosophy 4 proof-writing 2 reference-request × 4

# 13 Accounts

 Mathematics 742 rep 116 Programming Puzzles & Code Golf 391 rep 16 Academia 324 rep 310 Area 51 159 rep 1 Mathematics Educators 143 rep 5