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- 15 Finding all solutions to the equation $|||||x|-1|-1|-1|-1|=0$
- 14 Proving $\frac{n^n}{e^{n-1}}<n!<\frac{(n+1)^{n+1}}{e^{n}}$ by induction for all $n> 2$.
- 13 Nonhomogeneous wave equation
- 13 Show that $\int_0^\infty e^{-x}\cos x \text{dx}=\int_0^\infty e^{-x} \sin x \text{dx}$
- 13 Arithmetic pattern $1 + 2 = 3$, $4 + 5 + 6 = 7 + 8$, and so on
- 13 Proving that a Hölder space is a Banach space
- 12 Show that a group with $|G| = 33$ contains an element of order $3$
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