# igf

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 11 Is $2^{218!} +1$ prime? 10 How can I prove that $xy\leq x^2+y^2$? 8 Prove $(1-\cos x)/\sin x = \tan x/2$ 7 How do you find the limit of $\lim_{x \to 0} \frac{1-e^{6x}}{1-e^{3x}}$ 6 Mental estimate for tangent of an angle (from $0$ to $90$ degrees)

# 665 Reputation

 +10 $2^{1/4} \times 4^{1/8} \times 8^{1/16} \times 16^{1/32} \times \ldots\to2$ +10 How prove $f(x)$ is a monotonic function if $f(x+y)=f(x)f(y)$ +10 Prove $(1-\cos x)/\sin x = \tan x/2$ +5 Nested square root of continued fraction references

# 5 Questions

 2 A curious fact on partitions of 7 integer and related question. 1 Nested square root of continued fraction references 1 The unbeatable $\int e^{1/\cos(x)} dx$ integral 0 Limits and digit sums -2 How can human brain imagine the uncountable sets? (Paradox) [closed]

# 29 Tags

 16 trigonometry × 3 7 limits × 2 12 inequality × 2 6 estimation 11 prime-numbers × 2 6 mental-arithmetic 11 elementary-number-theory 2 calculus × 4 10 real-analysis × 2 2 functions × 2

# 5 Accounts

 Mathematics 665 rep 112 Game Development 149 rep 5 Stack Overflow 108 rep 3 Physics 101 rep Mathematica 101 rep