Dear Tianyi,

 Please consult

https://sites.math.rutgers.edu/~zeilberg/Hist21/mt1S.pdf

for the full solutions.

You got  93  points (out of 120).

Here is what you got wrong:

#4(i): -2 points (you had to check at FIVE different values of n)

#7: -5 points (you did not define Egyptian Fractions)

#8: -5 points (see answer key)

#9: -10 points (not attempted)

#11: -5 points (the approximation is NOT e)







 Best wishes,

   Dr. Z.