Mathematics: There is absolutely no empirical evidence for the divergence of the harmonic series even though the series diverges. The partial sums just grow too slowly. To show this, suppose you had started with s 1 equals 1 the day the universe was formed, 13 billion years ago, and added a new term every second. About how large would the partial sum s Subscript n be today, assuming a 365-day year?

There is absolutely no empirical evidence for the

cargod1

22.01.2022

The partial sum s Subscript n today would be $S_{13 \ billon}= 39.2523$

Step-by-step explanation:

From the question we are told that

n = 13 billion years

The partial sum is given as

$S_{n} = 1+ ln(n) * ln(10)$

Converting n to seconds

$n = (13 * 10^9) * (365 days / year) *(24 hr /day) * (3600/h) = 4.09968 *10^{16}$

The

$S_{13billion} = 1 + ln(4.0*10^{16}) ln(10)$

$S_{13 \ billon}= 39.2523$

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jwyapo4

21.12.2021

a. 56

b. 72

c. 64

Step-by-step explanation:

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