The constant e is approximately equal to what?
Answer2.718
e is about 2.71828; 3.142 is pi, 1.618 the golden ratio and 1.414 the square root of 2.
Science · Facts & stats
E facts & stats
7 fact-checked facts about the mathematical constant e, each with the reason behind it. 5 more are in today's round and join this page after it closes.
The basics
e is the base of which logarithm?
AnswerThe natural logarithm
The natural logarithm, written ln, uses e as its base.
Going deeper
What is the derivative of e^x?
Answere^x
e^x is its own derivative, which makes it central to calculus and growth models.
e is the limit of which expression as n grows very large?
Answer(1 + 1/n)^n
As n increases, (1 + 1/n)^n gets closer and closer to e.
e equals the sum of which infinite series?
Answer1/0! + 1/1! + 1/2! + 1/3! + ...
Adding the reciprocals of factorials, 1 + 1 + 1/2 + 1/6 + ..., converges to e.
Expert level
Jacob Bernoulli discovered the constant e while studying what?
AnswerCompound interest
In 1683 Jacob Bernoulli found e by asking what happens when interest is compounded more and more often.
Who proved in 1873 that e is transcendental?
AnswerCharles Hermite
Charles Hermite proved e is not a root of any polynomial with integer coefficients.
Know these cold?Today's round is five questions like these, 20 seconds each. Your streak and level follow you to every arena.Play today's round