Irrational Number π

[nycmathguy]

Part (a)

(4/3)^4 = 256/81 = 3.160494 = agrees with pi by 1 decimal place.

Part (b)

227/ = 3.1422857 = agrees with pi by 2 decimal places.

Part (c)

355/113 = 3.141593 = agrees with pi by 5 decimal places.

Part (d)

(63/25)[(17 + 15•sqrt{5})/(7 + 15•sqrt{5})] = 3.1415926 = agrees with pi by 5 decimal places.

You say?

 

[MathLover1]

correct

 

[nycmathguy]

correct

We return to precalculus tomorrow and throughout the weekend but, like I said in our most recent PM, I will post questions that

A. I tried over and over again to solve but to no avail and B. questions that I simply have no idea what to do.

P. S. Look for my occasional David Cohen questions from time to time. By the way, I had no idea that David Cohen passed away years ago from leukemia. I guess we are not leaving this world alive.

 

[MathLover1]

very touching tributes

 

[nycmathguy]

very touching tributes

I concur. I love David Cohen. You know, life is unfair. The world needs more people like him. David's mathematical genius was beyond his colleagues. I never met the man. I absolutely love his precalculus textbooks editions 3 and 4. May he rest in the paradise of God.