Miscellaneous

Some helpful algebraic generalities to review when stuck.

ax+b=x(a+bx)ax + b = x \cdot (a + \frac{b}{x})
ab=ab\sqrt{a \cdot b} = \sqrt{a} \cdot \sqrt{b}
e=limn(1+1n)ne = \lim \limits_{n \to \infty } \left( {1 + \frac{1}{n}} \right)^n
limn(xnn!)=0\lim \limits_{n \to \infty} \left( \frac{x^n}{n!} \right) = 0

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