Practice problem
Which function does this Taylor series correspond to? x+2x22!+x33!+x55!+2x66!+x77!+…x + 2 \frac{x^2}{2!} + \frac{x^3}{3!} + \frac{x^5}{5!} + 2\frac{x^6}{6!} + \frac{x^7}{7!} + \dotsx+22!x2+3!x3+5!x5+26!x6+7!x7+…
sin(x)+cos(x)\sin(x) + \cos(x)sin(x)+cos(x)
ex−cos(x)e^x - \cos(x)ex−cos(x)
ex−sin(x)e^x - \sin(x)ex−sin(x)
ex+sin(x)+cos(x)e^x + \sin(x) + \cos(x)ex+sin(x)+cos(x)
2ex−sin(x)2e^x - \sin(x)2ex−sin(x)
Type a concept, like “slope” or “photosynthesis”.