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Mathematics
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MangoPizza
  • Member for 2 years, 11 months
  • Last seen more than a week ago
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10
Evaluate $\lim_{n \to \infty} \frac{a_n}{2 ^ {n - 1}}$ if $a_n = a_{n - 1} + \sqrt{a_{n - 1}^2 + 1}$
Aug 7, 2022
9
Alice and Bob sometimes lie; a die is thrown and they claim different results; what is the probability that Bob is being honest?
Jul 28, 2022
8
Simplifying $\frac{\tan A + \sec A - 1}{\tan A - \sec A + 1}$
Aug 19, 2021
8
Proving the existence of integers $a, b, c$ such that $\left\lvert a + b\sqrt{2} + c\sqrt{3}\right\rvert < 10^{-5}$ [duplicate]
Nov 27, 2023
6
Find $m$ if $x^3 - mx^2 - 4 = 0$ and $x^3 + mx + 2 =0$ have a common root.
Aug 18, 2021
6
Does anything change if we allow complex roots in system of linear equations?
Jul 22, 2022
5
Evaluating $\binom{n}{0}\binom{n+1}{0}+\binom{n}{1}\binom{n+1}{1}+\ldots+\binom{n}{n-1}\binom{n+1}{n-1}+\binom{n}{n}\binom{n+1}{n}$
Jul 28, 2022
5
If $-1 \le x \le 1$, what is the maximum value of $x+\sqrt{1-x^2}$? (Cannot use calculus method)
Apr 15, 2022
5
How many more odd divisors are there than even divisors?
Apr 3, 2022
5
Prove that $\sum_{k = r}^{n} k(k - 1)(k - 2)\cdots(k - r+ 1)D_n(k) = n!$
Jul 20, 2022
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21
Why is the time of flight of a projectile on an inclined plane equal to twice the time taken to reach maximum distance normal to incline?