Round 7: Tossup 14

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

ANSWER: natural logarithm [or natural log or ln; prompt on logarithm]
<Science - Math, Vikram Narasimhan> | VAULT II Packet 07
= Average correct buzzpoint

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