Transcendental Numbers...5

Joined
Jun 27, 2021
Messages
5,386
Reaction score
422
What role does the number e play in Calculus l, ll, lll?

Same question for pi in terms of Calculus l, ll, lll.

This is it for today.
 
both play huge role

Whoever have taken an entry level calculus course, should have probably run into Euler’s constant, since it’s the base for the natural logarithms.
It looks like this: e^(ln( x))= x

e
is the base of the natural logarithm, so it will be used constantly
Archimedes' π is defined as “the ratio of the circumference of a circle to its diameter.”
 
both play huge role

Whoever have taken an entry level calculus course, should have probably run into Euler’s constant, since it’s the base for the natural logarithms.
It looks like this: e^(ln( x))= x

e
is the base of the natural logarithm, so it will be used constantly
Archimedes' π is defined as “the ratio of the circumference of a circle to its diameter.”

Going back to e^(ln x) = x, if x = 50, then we can say that e^(ln 50) = 50. Yes?
 

Members online

No members online now.

Forum statistics

Threads
2,521
Messages
9,844
Members
697
Latest member
RicoCullen
Back
Top