Packet 7: Tossup 14

This function of a complex number, z, is defined as this function of its modulus plus i (15[1])times theta. (15[1]-5[1])The number of primes less than (15[1])or equal to a real number (15[1])n (-5[1])is (-5[1])approximately n over (15[1]-5[1])this function of n. (15[9]-5[1])The alternating (-5[1])harmonic (-5[1])series (15[1])converges to this function (-5[1])of 2. (-5[2])This function of n (*) factorial can be approximated using (10[1])Stirling’s (10[1])approximation. (10[2]-5[1])The first three (10[1])terms of the Taylor series of this (-5[1])function (-5[1])of 1 plus x is x minus x (10[1])squared over 2 plus x cubed over 3. This function’s derivative is 1 over x. (10[1])For (10[1])10 points, name this function (10[1]-5[1])whose (10[1])inverse (10[1])is e to the x. ■END■ (10[11])

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