Round 7: Tossup 14

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

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