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10 questions from this quiz
Every function can be written as an infinite-order polynomial
cn=f(n)(0)n!c_n = \frac{f^{(n)}(0)}{n!}cn=n!f(n)(0)
f(0)f(0)f(0)
f′′(0)2\frac{f''(0)}{2}2f′′(0)
1+x+x221 + x + \frac{x^2}{2}1+x+2x2
52−2x2\frac{5}{2} - 2x^225−2x2
x−x22+x33+⋯x - \frac{x^2}{2} + \frac{x^3}{3} + \cdotsx−2x2+3x3+⋯
ln2+ln(1+x2)\ln 2 + \ln(1+\frac{x}{2})ln2+ln(1+2x)
Write as product of known expansions
e+ex+ex2e + ex + ex^2e+ex+ex2
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